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Finding the Fourth Proportional to 9,347.62, 12,899.49 and 5,155.78

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Solution

The fourth proportional to 9,347.62, 12,899.49 and 5,155.78 is: 7,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.62 : 12,899.49 = 5,155.78 : x
  2. Step 2: Convert to fraction form
    9,347.62/12,899.49 = 5,155.78/x
  3. Step 3: Cross multiply
    9,347.62x = 12,899.49 × 5,155.78
  4. Step 4: Simplify right side
    9,347.62x = 66,506,932.55
  5. Step 5: Solve for x
    x = 66,506,932.55/9,347.62
  6. Step 6: Final answer
    x = 7,114.85

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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.