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Finding the Fourth Proportional to 8,570.72, 12,857.11 and 3,022.92

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Solution

The fourth proportional to 8,570.72, 12,857.11 and 3,022.92 is: 4,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.72 : 12,857.11 = 3,022.92 : x
  2. Step 2: Convert to fraction form
    8,570.72/12,857.11 = 3,022.92/x
  3. Step 3: Cross multiply
    8,570.72x = 12,857.11 × 3,022.92
  4. Step 4: Simplify right side
    8,570.72x = 38,866,066.95
  5. Step 5: Solve for x
    x = 38,866,066.95/8,570.72
  6. Step 6: Final answer
    x = 4,534.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.