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Finding the Fourth Proportional to 9,700.92, 14,551.56 and 2,775.42

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Solution

The fourth proportional to 9,700.92, 14,551.56 and 2,775.42 is: 4,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.92 : 14,551.56 = 2,775.42 : x
  2. Step 2: Convert to fraction form
    9,700.92/14,551.56 = 2,775.42/x
  3. Step 3: Cross multiply
    9,700.92x = 14,551.56 × 2,775.42
  4. Step 4: Simplify right side
    9,700.92x = 40,386,690.66
  5. Step 5: Solve for x
    x = 40,386,690.66/9,700.92
  6. Step 6: Final answer
    x = 4,163.18

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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.