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Finding the Fourth Proportional to 6,578.48, 9,867.50 and 1,648.17

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Solution

The fourth proportional to 6,578.48, 9,867.50 and 1,648.17 is: 2,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.48 : 9,867.50 = 1,648.17 : x
  2. Step 2: Convert to fraction form
    6,578.48/9,867.50 = 1,648.17/x
  3. Step 3: Cross multiply
    6,578.48x = 9,867.50 × 1,648.17
  4. Step 4: Simplify right side
    6,578.48x = 16,263,264.02
  5. Step 5: Solve for x
    x = 16,263,264.02/6,578.48
  6. Step 6: Final answer
    x = 2,472.19

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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.