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Finding the Fourth Proportional to 4,774.61, 7,161.63 and 2,839.13

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Solution

The fourth proportional to 4,774.61, 7,161.63 and 2,839.13 is: 4,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.61 : 7,161.63 = 2,839.13 : x
  2. Step 2: Convert to fraction form
    4,774.61/7,161.63 = 2,839.13/x
  3. Step 3: Cross multiply
    4,774.61x = 7,161.63 × 2,839.13
  4. Step 4: Simplify right side
    4,774.61x = 20,332,798.58
  5. Step 5: Solve for x
    x = 20,332,798.58/4,774.61
  6. Step 6: Final answer
    x = 4,258.53

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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.