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Finding the Fourth Proportional to 10,470.90, 15,704.72 and 6,799.16

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Solution

The fourth proportional to 10,470.90, 15,704.72 and 6,799.16 is: 10,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.90 : 15,704.72 = 6,799.16 : x
  2. Step 2: Convert to fraction form
    10,470.90/15,704.72 = 6,799.16/x
  3. Step 3: Cross multiply
    10,470.90x = 15,704.72 × 6,799.16
  4. Step 4: Simplify right side
    10,470.90x = 106,778,904.04
  5. Step 5: Solve for x
    x = 106,778,904.04/10,470.90
  6. Step 6: Final answer
    x = 10,197.68

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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.