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Finding the Fourth Proportional to 6,574.92, 9,867.24 and 2,417.50

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Solution

The fourth proportional to 6,574.92, 9,867.24 and 2,417.50 is: 3,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.92 : 9,867.24 = 2,417.50 : x
  2. Step 2: Convert to fraction form
    6,574.92/9,867.24 = 2,417.50/x
  3. Step 3: Cross multiply
    6,574.92x = 9,867.24 × 2,417.50
  4. Step 4: Simplify right side
    6,574.92x = 23,854,052.70
  5. Step 5: Solve for x
    x = 23,854,052.70/6,574.92
  6. Step 6: Final answer
    x = 3,628.04

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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.