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Finding the Fourth Proportional to 5,397.30, 7,482.24 and 5,101.65

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Solution

The fourth proportional to 5,397.30, 7,482.24 and 5,101.65 is: 7,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.30 : 7,482.24 = 5,101.65 : x
  2. Step 2: Convert to fraction form
    5,397.30/7,482.24 = 5,101.65/x
  3. Step 3: Cross multiply
    5,397.30x = 7,482.24 × 5,101.65
  4. Step 4: Simplify right side
    5,397.30x = 38,171,769.70
  5. Step 5: Solve for x
    x = 38,171,769.70/5,397.30
  6. Step 6: Final answer
    x = 7,072.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.