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Finding the Fourth Proportional to 8,459.28, 11,671.92 and 5,102.64

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Solution

The fourth proportional to 8,459.28, 11,671.92 and 5,102.64 is: 7,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.28 : 11,671.92 = 5,102.64 : x
  2. Step 2: Convert to fraction form
    8,459.28/11,671.92 = 5,102.64/x
  3. Step 3: Cross multiply
    8,459.28x = 11,671.92 × 5,102.64
  4. Step 4: Simplify right side
    8,459.28x = 59,557,605.87
  5. Step 5: Solve for x
    x = 59,557,605.87/8,459.28
  6. Step 6: Final answer
    x = 7,040.51

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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.