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Finding the Fourth Proportional to 10,152.88, 15,224.10 and 3,740.92

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Solution

The fourth proportional to 10,152.88, 15,224.10 and 3,740.92 is: 5,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.88 : 15,224.10 = 3,740.92 : x
  2. Step 2: Convert to fraction form
    10,152.88/15,224.10 = 3,740.92/x
  3. Step 3: Cross multiply
    10,152.88x = 15,224.10 × 3,740.92
  4. Step 4: Simplify right side
    10,152.88x = 56,952,140.17
  5. Step 5: Solve for x
    x = 56,952,140.17/10,152.88
  6. Step 6: Final answer
    x = 5,609.46

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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.