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Finding the Fourth Proportional to 6,569.85, 9,066.42 and 3,585.75

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Solution

The fourth proportional to 6,569.85, 9,066.42 and 3,585.75 is: 4,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.85 : 9,066.42 = 3,585.75 : x
  2. Step 2: Convert to fraction form
    6,569.85/9,066.42 = 3,585.75/x
  3. Step 3: Cross multiply
    6,569.85x = 9,066.42 × 3,585.75
  4. Step 4: Simplify right side
    6,569.85x = 32,509,915.52
  5. Step 5: Solve for x
    x = 32,509,915.52/6,569.85
  6. Step 6: Final answer
    x = 4,948.35

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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.