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Finding the Fourth Proportional to 7,454.74, 10,287.74 and 4,097.64

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Solution

The fourth proportional to 7,454.74, 10,287.74 and 4,097.64 is: 5,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.74 : 10,287.74 = 4,097.64 : x
  2. Step 2: Convert to fraction form
    7,454.74/10,287.74 = 4,097.64/x
  3. Step 3: Cross multiply
    7,454.74x = 10,287.74 × 4,097.64
  4. Step 4: Simplify right side
    7,454.74x = 42,155,454.93
  5. Step 5: Solve for x
    x = 42,155,454.93/7,454.74
  6. Step 6: Final answer
    x = 5,654.85

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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.