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Finding the Fourth Proportional to 6,569.95, 9,066.64 and 3,585.81

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Solution

The fourth proportional to 6,569.95, 9,066.64 and 3,585.81 is: 4,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.95 : 9,066.64 = 3,585.81 : x
  2. Step 2: Convert to fraction form
    6,569.95/9,066.64 = 3,585.81/x
  3. Step 3: Cross multiply
    6,569.95x = 9,066.64 × 3,585.81
  4. Step 4: Simplify right side
    6,569.95x = 32,511,248.38
  5. Step 5: Solve for x
    x = 32,511,248.38/6,569.95
  6. Step 6: Final answer
    x = 4,948.48

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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.