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Finding the Fourth Proportional to 8,290.76, 11,438.34 and 4,751.42

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Solution

The fourth proportional to 8,290.76, 11,438.34 and 4,751.42 is: 6,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.76 : 11,438.34 = 4,751.42 : x
  2. Step 2: Convert to fraction form
    8,290.76/11,438.34 = 4,751.42/x
  3. Step 3: Cross multiply
    8,290.76x = 11,438.34 × 4,751.42
  4. Step 4: Simplify right side
    8,290.76x = 54,348,357.44
  5. Step 5: Solve for x
    x = 54,348,357.44/8,290.76
  6. Step 6: Final answer
    x = 6,555.29

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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.