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Finding the Fourth Proportional to 9,597, 13,248.30 and 6,766.68

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Solution

The fourth proportional to 9,597, 13,248.30 and 6,766.68 is: 9,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597 : 13,248.30 = 6,766.68 : x
  2. Step 2: Convert to fraction form
    9,597/13,248.30 = 6,766.68/x
  3. Step 3: Cross multiply
    9,597x = 13,248.30 × 6,766.68
  4. Step 4: Simplify right side
    9,597x = 89,647,006.64
  5. Step 5: Solve for x
    x = 89,647,006.64/9,597
  6. Step 6: Final answer
    x = 9,341.15

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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.