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Finding the Fourth Proportional to 23,652.50, 35,478.75 and 8,070.13

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Solution

The fourth proportional to 23,652.50, 35,478.75 and 8,070.13 is: 12,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652.50 : 35,478.75 = 8,070.13 : x
  2. Step 2: Convert to fraction form
    23,652.50/35,478.75 = 8,070.13/x
  3. Step 3: Cross multiply
    23,652.50x = 35,478.75 × 8,070.13
  4. Step 4: Simplify right side
    23,652.50x = 286,317,947.34
  5. Step 5: Solve for x
    x = 286,317,947.34/23,652.50
  6. Step 6: Final answer
    x = 12,105.19

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.