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Finding the Fourth Proportional to 9,586.80, 13,227.84 and 7,351.20

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Solution

The fourth proportional to 9,586.80, 13,227.84 and 7,351.20 is: 10,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.80 : 13,227.84 = 7,351.20 : x
  2. Step 2: Convert to fraction form
    9,586.80/13,227.84 = 7,351.20/x
  3. Step 3: Cross multiply
    9,586.80x = 13,227.84 × 7,351.20
  4. Step 4: Simplify right side
    9,586.80x = 97,240,497.41
  5. Step 5: Solve for x
    x = 97,240,497.41/9,586.80
  6. Step 6: Final answer
    x = 10,143.17

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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.