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Finding the Fourth Proportional to 9,141.80, 13,713.57 and 2,567.97

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Solution

The fourth proportional to 9,141.80, 13,713.57 and 2,567.97 is: 3,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.80 : 13,713.57 = 2,567.97 : x
  2. Step 2: Convert to fraction form
    9,141.80/13,713.57 = 2,567.97/x
  3. Step 3: Cross multiply
    9,141.80x = 13,713.57 × 2,567.97
  4. Step 4: Simplify right side
    9,141.80x = 35,216,036.35
  5. Step 5: Solve for x
    x = 35,216,036.35/9,141.80
  6. Step 6: Final answer
    x = 3,852.20

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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.