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Finding the Fourth Proportional to 10,642.86, 15,954.57 and 3,713.58

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Solution

The fourth proportional to 10,642.86, 15,954.57 and 3,713.58 is: 5,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.86 : 15,954.57 = 3,713.58 : x
  2. Step 2: Convert to fraction form
    10,642.86/15,954.57 = 3,713.58/x
  3. Step 3: Cross multiply
    10,642.86x = 15,954.57 × 3,713.58
  4. Step 4: Simplify right side
    10,642.86x = 59,248,572.06
  5. Step 5: Solve for x
    x = 59,248,572.06/10,642.86
  6. Step 6: Final answer
    x = 5,566.98

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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.