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Finding the Fourth Proportional to 23,653.50, 35,480.25 and 8,071.13

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Solution

The fourth proportional to 23,653.50, 35,480.25 and 8,071.13 is: 12,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.50 : 35,480.25 = 8,071.13 : x
  2. Step 2: Convert to fraction form
    23,653.50/35,480.25 = 8,071.13/x
  3. Step 3: Cross multiply
    23,653.50x = 35,480.25 × 8,071.13
  4. Step 4: Simplify right side
    23,653.50x = 286,365,710.18
  5. Step 5: Solve for x
    x = 286,365,710.18/23,653.50
  6. Step 6: Final answer
    x = 12,106.70

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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.