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Finding the Fourth Proportional to 10,459.54, 15,685.14 and 4,612

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Solution

The fourth proportional to 10,459.54, 15,685.14 and 4,612 is: 6,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.54 : 15,685.14 = 4,612 : x
  2. Step 2: Convert to fraction form
    10,459.54/15,685.14 = 4,612/x
  3. Step 3: Cross multiply
    10,459.54x = 15,685.14 × 4,612
  4. Step 4: Simplify right side
    10,459.54x = 72,339,865.68
  5. Step 5: Solve for x
    x = 72,339,865.68/10,459.54
  6. Step 6: Final answer
    x = 6,916.16

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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.