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Finding the Fourth Proportional to 6,569.97, 9,066.60 and 3,585.88

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Solution

The fourth proportional to 6,569.97, 9,066.60 and 3,585.88 is: 4,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.97 : 9,066.60 = 3,585.88 : x
  2. Step 2: Convert to fraction form
    6,569.97/9,066.60 = 3,585.88/x
  3. Step 3: Cross multiply
    6,569.97x = 9,066.60 × 3,585.88
  4. Step 4: Simplify right side
    6,569.97x = 32,511,676.35
  5. Step 5: Solve for x
    x = 32,511,676.35/6,569.97
  6. Step 6: Final answer
    x = 4,948.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.