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Finding the Fourth Proportional to 7,241.64, 9,987.96 and 5,258.76

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Solution

The fourth proportional to 7,241.64, 9,987.96 and 5,258.76 is: 7,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.64 : 9,987.96 = 5,258.76 : x
  2. Step 2: Convert to fraction form
    7,241.64/9,987.96 = 5,258.76/x
  3. Step 3: Cross multiply
    7,241.64x = 9,987.96 × 5,258.76
  4. Step 4: Simplify right side
    7,241.64x = 52,524,284.53
  5. Step 5: Solve for x
    x = 52,524,284.53/7,241.64
  6. Step 6: Final answer
    x = 7,253.09

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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.