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Finding the Fourth Proportional to 10,309.61, 15,472.62 and 3,737.68

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Solution

The fourth proportional to 10,309.61, 15,472.62 and 3,737.68 is: 5,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.61 : 15,472.62 = 3,737.68 : x
  2. Step 2: Convert to fraction form
    10,309.61/15,472.62 = 3,737.68/x
  3. Step 3: Cross multiply
    10,309.61x = 15,472.62 × 3,737.68
  4. Step 4: Simplify right side
    10,309.61x = 57,831,663.64
  5. Step 5: Solve for x
    x = 57,831,663.64/10,309.61
  6. Step 6: Final answer
    x = 5,609.49

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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.