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Finding the Fourth Proportional to 7,278.90, 10,902.15 and 6,306.90

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Solution

The fourth proportional to 7,278.90, 10,902.15 and 6,306.90 is: 9,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.90 : 10,902.15 = 6,306.90 : x
  2. Step 2: Convert to fraction form
    7,278.90/10,902.15 = 6,306.90/x
  3. Step 3: Cross multiply
    7,278.90x = 10,902.15 × 6,306.90
  4. Step 4: Simplify right side
    7,278.90x = 68,758,769.84
  5. Step 5: Solve for x
    x = 68,758,769.84/7,278.90
  6. Step 6: Final answer
    x = 9,446.31

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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.