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Finding the Fourth Proportional to 7,306.47, 10,084.19 and 7,063.47

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Solution

The fourth proportional to 7,306.47, 10,084.19 and 7,063.47 is: 9,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.47 : 10,084.19 = 7,063.47 : x
  2. Step 2: Convert to fraction form
    7,306.47/10,084.19 = 7,063.47/x
  3. Step 3: Cross multiply
    7,306.47x = 10,084.19 × 7,063.47
  4. Step 4: Simplify right side
    7,306.47x = 71,229,373.54
  5. Step 5: Solve for x
    x = 71,229,373.54/7,306.47
  6. Step 6: Final answer
    x = 9,748.81

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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.