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Finding the Fourth Proportional to 7,702.78, 10,626.13 and 5,049.02

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Solution

The fourth proportional to 7,702.78, 10,626.13 and 5,049.02 is: 6,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.78 : 10,626.13 = 5,049.02 : x
  2. Step 2: Convert to fraction form
    7,702.78/10,626.13 = 5,049.02/x
  3. Step 3: Cross multiply
    7,702.78x = 10,626.13 × 5,049.02
  4. Step 4: Simplify right side
    7,702.78x = 53,651,542.89
  5. Step 5: Solve for x
    x = 53,651,542.89/7,702.78
  6. Step 6: Final answer
    x = 6,965.22

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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.