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Finding the Fourth Proportional to 6,549.75, 9,822.89 and 2,851.12

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Solution

The fourth proportional to 6,549.75, 9,822.89 and 2,851.12 is: 4,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.75 : 9,822.89 = 2,851.12 : x
  2. Step 2: Convert to fraction form
    6,549.75/9,822.89 = 2,851.12/x
  3. Step 3: Cross multiply
    6,549.75x = 9,822.89 × 2,851.12
  4. Step 4: Simplify right side
    6,549.75x = 28,006,238.14
  5. Step 5: Solve for x
    x = 28,006,238.14/6,549.75
  6. Step 6: Final answer
    x = 4,275.92

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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.