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Finding the Fourth Proportional to 9,291.57, 12,818.07 and 5,932.68

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Solution

The fourth proportional to 9,291.57, 12,818.07 and 5,932.68 is: 8,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.57 : 12,818.07 = 5,932.68 : x
  2. Step 2: Convert to fraction form
    9,291.57/12,818.07 = 5,932.68/x
  3. Step 3: Cross multiply
    9,291.57x = 12,818.07 × 5,932.68
  4. Step 4: Simplify right side
    9,291.57x = 76,045,507.53
  5. Step 5: Solve for x
    x = 76,045,507.53/9,291.57
  6. Step 6: Final answer
    x = 8,184.36

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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.