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Finding the Fourth Proportional to 8,253.74, 11,391.10 and 5,735.18

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Solution

The fourth proportional to 8,253.74, 11,391.10 and 5,735.18 is: 7,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.74 : 11,391.10 = 5,735.18 : x
  2. Step 2: Convert to fraction form
    8,253.74/11,391.10 = 5,735.18/x
  3. Step 3: Cross multiply
    8,253.74x = 11,391.10 × 5,735.18
  4. Step 4: Simplify right side
    8,253.74x = 65,330,008.90
  5. Step 5: Solve for x
    x = 65,330,008.90/8,253.74
  6. Step 6: Final answer
    x = 7,915.20

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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.