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Finding the Fourth Proportional to 11,218.65, 15,482.24 and 6,744.48

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Solution

The fourth proportional to 11,218.65, 15,482.24 and 6,744.48 is: 9,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218.65 : 15,482.24 = 6,744.48 : x
  2. Step 2: Convert to fraction form
    11,218.65/15,482.24 = 6,744.48/x
  3. Step 3: Cross multiply
    11,218.65x = 15,482.24 × 6,744.48
  4. Step 4: Simplify right side
    11,218.65x = 104,419,658.04
  5. Step 5: Solve for x
    x = 104,419,658.04/11,218.65
  6. Step 6: Final answer
    x = 9,307.68

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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.