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Finding the Fourth Proportional to 9,301.80, 13,931.10 and 6,364.20

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Solution

The fourth proportional to 9,301.80, 13,931.10 and 6,364.20 is: 9,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.80 : 13,931.10 = 6,364.20 : x
  2. Step 2: Convert to fraction form
    9,301.80/13,931.10 = 6,364.20/x
  3. Step 3: Cross multiply
    9,301.80x = 13,931.10 × 6,364.20
  4. Step 4: Simplify right side
    9,301.80x = 88,660,306.62
  5. Step 5: Solve for x
    x = 88,660,306.62/9,301.80
  6. Step 6: Final answer
    x = 9,531.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.