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Finding the Fourth Proportional to 5,475.65, 7,560.82 and 5,200.45

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Solution

The fourth proportional to 5,475.65, 7,560.82 and 5,200.45 is: 7,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.65 : 7,560.82 = 5,200.45 : x
  2. Step 2: Convert to fraction form
    5,475.65/7,560.82 = 5,200.45/x
  3. Step 3: Cross multiply
    5,475.65x = 7,560.82 × 5,200.45
  4. Step 4: Simplify right side
    5,475.65x = 39,319,634.47
  5. Step 5: Solve for x
    x = 39,319,634.47/5,475.65
  6. Step 6: Final answer
    x = 7,180.82

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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.