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Finding the Fourth Proportional to 9,326.57, 12,869.46 and 6,308.24

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Solution

The fourth proportional to 9,326.57, 12,869.46 and 6,308.24 is: 8,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.57 : 12,869.46 = 6,308.24 : x
  2. Step 2: Convert to fraction form
    9,326.57/12,869.46 = 6,308.24/x
  3. Step 3: Cross multiply
    9,326.57x = 12,869.46 × 6,308.24
  4. Step 4: Simplify right side
    9,326.57x = 81,183,642.35
  5. Step 5: Solve for x
    x = 81,183,642.35/9,326.57
  6. Step 6: Final answer
    x = 8,704.56

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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.