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Finding the Fourth Proportional to 9,129.76, 13,694.28 and 6,348.24

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Solution

The fourth proportional to 9,129.76, 13,694.28 and 6,348.24 is: 9,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.76 : 13,694.28 = 6,348.24 : x
  2. Step 2: Convert to fraction form
    9,129.76/13,694.28 = 6,348.24/x
  3. Step 3: Cross multiply
    9,129.76x = 13,694.28 × 6,348.24
  4. Step 4: Simplify right side
    9,129.76x = 86,934,576.07
  5. Step 5: Solve for x
    x = 86,934,576.07/9,129.76
  6. Step 6: Final answer
    x = 9,522.11

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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.