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Finding the Fourth Proportional to 6,549.87, 9,038.94 and 3,565.80

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Solution

The fourth proportional to 6,549.87, 9,038.94 and 3,565.80 is: 4,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.87 : 9,038.94 = 3,565.80 : x
  2. Step 2: Convert to fraction form
    6,549.87/9,038.94 = 3,565.80/x
  3. Step 3: Cross multiply
    6,549.87x = 9,038.94 × 3,565.80
  4. Step 4: Simplify right side
    6,549.87x = 32,231,052.25
  5. Step 5: Solve for x
    x = 32,231,052.25/6,549.87
  6. Step 6: Final answer
    x = 4,920.87

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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.