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Finding the Fourth Proportional to 6,504.74, 8,974.12 and 4,267.86

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Solution

The fourth proportional to 6,504.74, 8,974.12 and 4,267.86 is: 5,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.74 : 8,974.12 = 4,267.86 : x
  2. Step 2: Convert to fraction form
    6,504.74/8,974.12 = 4,267.86/x
  3. Step 3: Cross multiply
    6,504.74x = 8,974.12 × 4,267.86
  4. Step 4: Simplify right side
    6,504.74x = 38,300,287.78
  5. Step 5: Solve for x
    x = 38,300,287.78/6,504.74
  6. Step 6: Final answer
    x = 5,888.06

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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.