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Finding the Fourth Proportional to 8,258.40, 12,387.47 and 5,723.16

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Solution

The fourth proportional to 8,258.40, 12,387.47 and 5,723.16 is: 8,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.40 : 12,387.47 = 5,723.16 : x
  2. Step 2: Convert to fraction form
    8,258.40/12,387.47 = 5,723.16/x
  3. Step 3: Cross multiply
    8,258.40x = 12,387.47 × 5,723.16
  4. Step 4: Simplify right side
    8,258.40x = 70,895,425.18
  5. Step 5: Solve for x
    x = 70,895,425.18/8,258.40
  6. Step 6: Final answer
    x = 8,584.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.