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Finding the Fourth Proportional to 6,138.60, 9,207.89 and 1,521.60

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Solution

The fourth proportional to 6,138.60, 9,207.89 and 1,521.60 is: 2,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.60 : 9,207.89 = 1,521.60 : x
  2. Step 2: Convert to fraction form
    6,138.60/9,207.89 = 1,521.60/x
  3. Step 3: Cross multiply
    6,138.60x = 9,207.89 × 1,521.60
  4. Step 4: Simplify right side
    6,138.60x = 14,010,725.42
  5. Step 5: Solve for x
    x = 14,010,725.42/6,138.60
  6. Step 6: Final answer
    x = 2,282.40

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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.