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Finding the Fourth Proportional to 6,544.40, 9,801.12 and 4,982.52

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Solution

The fourth proportional to 6,544.40, 9,801.12 and 4,982.52 is: 7,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.40 : 9,801.12 = 4,982.52 : x
  2. Step 2: Convert to fraction form
    6,544.40/9,801.12 = 4,982.52/x
  3. Step 3: Cross multiply
    6,544.40x = 9,801.12 × 4,982.52
  4. Step 4: Simplify right side
    6,544.40x = 48,834,276.42
  5. Step 5: Solve for x
    x = 48,834,276.42/6,544.40
  6. Step 6: Final answer
    x = 7,461.99

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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.