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Finding the Fourth Proportional to 10,470.26, 15,710.71 and 6,962.71

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Solution

The fourth proportional to 10,470.26, 15,710.71 and 6,962.71 is: 10,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.26 : 15,710.71 = 6,962.71 : x
  2. Step 2: Convert to fraction form
    10,470.26/15,710.71 = 6,962.71/x
  3. Step 3: Cross multiply
    10,470.26x = 15,710.71 × 6,962.71
  4. Step 4: Simplify right side
    10,470.26x = 109,389,103.45
  5. Step 5: Solve for x
    x = 109,389,103.45/10,470.26
  6. Step 6: Final answer
    x = 10,447.60

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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.