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Finding the Fourth Proportional to 8,153.16, 11,252.06 and 5,167.90

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Solution

The fourth proportional to 8,153.16, 11,252.06 and 5,167.90 is: 7,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.16 : 11,252.06 = 5,167.90 : x
  2. Step 2: Convert to fraction form
    8,153.16/11,252.06 = 5,167.90/x
  3. Step 3: Cross multiply
    8,153.16x = 11,252.06 × 5,167.90
  4. Step 4: Simplify right side
    8,153.16x = 58,149,557.55
  5. Step 5: Solve for x
    x = 58,149,557.55/8,153.16
  6. Step 6: Final answer
    x = 7,132.15

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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.