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Finding the Fourth Proportional to 9,206.66, 12,712.68 and 7,505.43

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Solution

The fourth proportional to 9,206.66, 12,712.68 and 7,505.43 is: 10,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.66 : 12,712.68 = 7,505.43 : x
  2. Step 2: Convert to fraction form
    9,206.66/12,712.68 = 7,505.43/x
  3. Step 3: Cross multiply
    9,206.66x = 12,712.68 × 7,505.43
  4. Step 4: Simplify right side
    9,206.66x = 95,414,129.85
  5. Step 5: Solve for x
    x = 95,414,129.85/9,206.66
  6. Step 6: Final answer
    x = 10,363.60

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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.