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Finding the Fourth Proportional to 6,465.54, 9,698.35 and 2,569.96

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Solution

The fourth proportional to 6,465.54, 9,698.35 and 2,569.96 is: 3,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.54 : 9,698.35 = 2,569.96 : x
  2. Step 2: Convert to fraction form
    6,465.54/9,698.35 = 2,569.96/x
  3. Step 3: Cross multiply
    6,465.54x = 9,698.35 × 2,569.96
  4. Step 4: Simplify right side
    6,465.54x = 24,924,371.57
  5. Step 5: Solve for x
    x = 24,924,371.57/6,465.54
  6. Step 6: Final answer
    x = 3,854.96

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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.