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Finding the Fourth Proportional to 4,774.50, 7,161.88 and 4,076.76

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Solution

The fourth proportional to 4,774.50, 7,161.88 and 4,076.76 is: 6,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.50 : 7,161.88 = 4,076.76 : x
  2. Step 2: Convert to fraction form
    4,774.50/7,161.88 = 4,076.76/x
  3. Step 3: Cross multiply
    4,774.50x = 7,161.88 × 4,076.76
  4. Step 4: Simplify right side
    4,774.50x = 29,197,265.91
  5. Step 5: Solve for x
    x = 29,197,265.91/4,774.50
  6. Step 6: Final answer
    x = 6,115.25

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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.