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Finding the Fourth Proportional to 8,834.56, 12,197.14 and 6,710.20

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Solution

The fourth proportional to 8,834.56, 12,197.14 and 6,710.20 is: 9,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.56 : 12,197.14 = 6,710.20 : x
  2. Step 2: Convert to fraction form
    8,834.56/12,197.14 = 6,710.20/x
  3. Step 3: Cross multiply
    8,834.56x = 12,197.14 × 6,710.20
  4. Step 4: Simplify right side
    8,834.56x = 81,845,248.83
  5. Step 5: Solve for x
    x = 81,845,248.83/8,834.56
  6. Step 6: Final answer
    x = 9,264.21

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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.