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Finding the Fourth Proportional to 6,569.62, 9,069.42 and 5,074.18

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Solution

The fourth proportional to 6,569.62, 9,069.42 and 5,074.18 is: 7,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.62 : 9,069.42 = 5,074.18 : x
  2. Step 2: Convert to fraction form
    6,569.62/9,069.42 = 5,074.18/x
  3. Step 3: Cross multiply
    6,569.62x = 9,069.42 × 5,074.18
  4. Step 4: Simplify right side
    6,569.62x = 46,019,869.58
  5. Step 5: Solve for x
    x = 46,019,869.58/6,569.62
  6. Step 6: Final answer
    x = 7,004.95

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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.