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Finding the Fourth Proportional to 7,753.52, 10,702.20 and 5,270.96

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Solution

The fourth proportional to 7,753.52, 10,702.20 and 5,270.96 is: 7,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.52 : 10,702.20 = 5,270.96 : x
  2. Step 2: Convert to fraction form
    7,753.52/10,702.20 = 5,270.96/x
  3. Step 3: Cross multiply
    7,753.52x = 10,702.20 × 5,270.96
  4. Step 4: Simplify right side
    7,753.52x = 56,410,868.11
  5. Step 5: Solve for x
    x = 56,410,868.11/7,753.52
  6. Step 6: Final answer
    x = 7,275.52

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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.