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Finding the Fourth Proportional to 6,708.64, 9,257.47 and 3,724.24

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Solution

The fourth proportional to 6,708.64, 9,257.47 and 3,724.24 is: 5,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.64 : 9,257.47 = 3,724.24 : x
  2. Step 2: Convert to fraction form
    6,708.64/9,257.47 = 3,724.24/x
  3. Step 3: Cross multiply
    6,708.64x = 9,257.47 × 3,724.24
  4. Step 4: Simplify right side
    6,708.64x = 34,477,040.07
  5. Step 5: Solve for x
    x = 34,477,040.07/6,708.64
  6. Step 6: Final answer
    x = 5,139.20

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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.