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Finding the Fourth Proportional to 10,658.62, 14,708.96 and 5,943.20

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Solution

The fourth proportional to 10,658.62, 14,708.96 and 5,943.20 is: 8,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.62 : 14,708.96 = 5,943.20 : x
  2. Step 2: Convert to fraction form
    10,658.62/14,708.96 = 5,943.20/x
  3. Step 3: Cross multiply
    10,658.62x = 14,708.96 × 5,943.20
  4. Step 4: Simplify right side
    10,658.62x = 87,418,291.07
  5. Step 5: Solve for x
    x = 87,418,291.07/10,658.62
  6. Step 6: Final answer
    x = 8,201.65

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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.