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Finding the Fourth Proportional to 9,562.90, 14,332.13 and 7,714.89

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Solution

The fourth proportional to 9,562.90, 14,332.13 and 7,714.89 is: 11,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.90 : 14,332.13 = 7,714.89 : x
  2. Step 2: Convert to fraction form
    9,562.90/14,332.13 = 7,714.89/x
  3. Step 3: Cross multiply
    9,562.90x = 14,332.13 × 7,714.89
  4. Step 4: Simplify right side
    9,562.90x = 110,570,806.42
  5. Step 5: Solve for x
    x = 110,570,806.42/9,562.90
  6. Step 6: Final answer
    x = 11,562.48

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1.5x scale

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.