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Finding the Fourth Proportional to 9,207.40, 13,794.90 and 8,624.20

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Solution

The fourth proportional to 9,207.40, 13,794.90 and 8,624.20 is: 12,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.40 : 13,794.90 = 8,624.20 : x
  2. Step 2: Convert to fraction form
    9,207.40/13,794.90 = 8,624.20/x
  3. Step 3: Cross multiply
    9,207.40x = 13,794.90 × 8,624.20
  4. Step 4: Simplify right side
    9,207.40x = 118,969,976.58
  5. Step 5: Solve for x
    x = 118,969,976.58/9,207.40
  6. Step 6: Final answer
    x = 12,921.13

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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.