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Finding the Fourth Proportional to 7,292.48, 10,951.89 and 6,706.40

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Solution

The fourth proportional to 7,292.48, 10,951.89 and 6,706.40 is: 10,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.48 : 10,951.89 = 6,706.40 : x
  2. Step 2: Convert to fraction form
    7,292.48/10,951.89 = 6,706.40/x
  3. Step 3: Cross multiply
    7,292.48x = 10,951.89 × 6,706.40
  4. Step 4: Simplify right side
    7,292.48x = 73,447,755.10
  5. Step 5: Solve for x
    x = 73,447,755.10/7,292.48
  6. Step 6: Final answer
    x = 10,071.71

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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.