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Finding the Fourth Proportional to 7,161.84, 9,882.48 and 4,177.32

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Solution

The fourth proportional to 7,161.84, 9,882.48 and 4,177.32 is: 5,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.84 : 9,882.48 = 4,177.32 : x
  2. Step 2: Convert to fraction form
    7,161.84/9,882.48 = 4,177.32/x
  3. Step 3: Cross multiply
    7,161.84x = 9,882.48 × 4,177.32
  4. Step 4: Simplify right side
    7,161.84x = 41,282,281.35
  5. Step 5: Solve for x
    x = 41,282,281.35/7,161.84
  6. Step 6: Final answer
    x = 5,764.20

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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.