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Finding the Fourth Proportional to 10,442.68, 14,411.10 and 5,726.68

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Solution

The fourth proportional to 10,442.68, 14,411.10 and 5,726.68 is: 7,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.68 : 14,411.10 = 5,726.68 : x
  2. Step 2: Convert to fraction form
    10,442.68/14,411.10 = 5,726.68/x
  3. Step 3: Cross multiply
    10,442.68x = 14,411.10 × 5,726.68
  4. Step 4: Simplify right side
    10,442.68x = 82,527,758.15
  5. Step 5: Solve for x
    x = 82,527,758.15/10,442.68
  6. Step 6: Final answer
    x = 7,902.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.