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Finding the Fourth Proportional to 7,306.97, 10,084.88 and 7,063.97

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Solution

The fourth proportional to 7,306.97, 10,084.88 and 7,063.97 is: 9,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.97 : 10,084.88 = 7,063.97 : x
  2. Step 2: Convert to fraction form
    7,306.97/10,084.88 = 7,063.97/x
  3. Step 3: Cross multiply
    7,306.97x = 10,084.88 × 7,063.97
  4. Step 4: Simplify right side
    7,306.97x = 71,239,289.77
  5. Step 5: Solve for x
    x = 71,239,289.77/7,306.97
  6. Step 6: Final answer
    x = 9,749.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.