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Finding the Fourth Proportional to 6,498.04, 9,746.97 and 1,567.64

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Solution

The fourth proportional to 6,498.04, 9,746.97 and 1,567.64 is: 2,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.04 : 9,746.97 = 1,567.64 : x
  2. Step 2: Convert to fraction form
    6,498.04/9,746.97 = 1,567.64/x
  3. Step 3: Cross multiply
    6,498.04x = 9,746.97 × 1,567.64
  4. Step 4: Simplify right side
    6,498.04x = 15,279,685.44
  5. Step 5: Solve for x
    x = 15,279,685.44/6,498.04
  6. Step 6: Final answer
    x = 2,351.43

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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.