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Finding the Fourth Proportional to 9,091.80, 13,637.70 and 8,314.20

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Solution

The fourth proportional to 9,091.80, 13,637.70 and 8,314.20 is: 12,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.80 : 13,637.70 = 8,314.20 : x
  2. Step 2: Convert to fraction form
    9,091.80/13,637.70 = 8,314.20/x
  3. Step 3: Cross multiply
    9,091.80x = 13,637.70 × 8,314.20
  4. Step 4: Simplify right side
    9,091.80x = 113,386,565.34
  5. Step 5: Solve for x
    x = 113,386,565.34/9,091.80
  6. Step 6: Final answer
    x = 12,471.30

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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.