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Finding the Fourth Proportional to 8,152.36, 12,228.54 and 3,535

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Solution

The fourth proportional to 8,152.36, 12,228.54 and 3,535 is: 5,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.36 : 12,228.54 = 3,535 : x
  2. Step 2: Convert to fraction form
    8,152.36/12,228.54 = 3,535/x
  3. Step 3: Cross multiply
    8,152.36x = 12,228.54 × 3,535
  4. Step 4: Simplify right side
    8,152.36x = 43,227,888.90
  5. Step 5: Solve for x
    x = 43,227,888.90/8,152.36
  6. Step 6: Final answer
    x = 5,302.50

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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.