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Finding the Fourth Proportional to 6,569.64, 9,854.35 and 1,639.22

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Solution

The fourth proportional to 6,569.64, 9,854.35 and 1,639.22 is: 2,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.64 : 9,854.35 = 1,639.22 : x
  2. Step 2: Convert to fraction form
    6,569.64/9,854.35 = 1,639.22/x
  3. Step 3: Cross multiply
    6,569.64x = 9,854.35 × 1,639.22
  4. Step 4: Simplify right side
    6,569.64x = 16,153,394.24
  5. Step 5: Solve for x
    x = 16,153,394.24/6,569.64
  6. Step 6: Final answer
    x = 2,458.79

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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.