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Finding the Fourth Proportional to 6,742.44, 9,290.70 and 6,651.72

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Solution

The fourth proportional to 6,742.44, 9,290.70 and 6,651.72 is: 9,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.44 : 9,290.70 = 6,651.72 : x
  2. Step 2: Convert to fraction form
    6,742.44/9,290.70 = 6,651.72/x
  3. Step 3: Cross multiply
    6,742.44x = 9,290.70 × 6,651.72
  4. Step 4: Simplify right side
    6,742.44x = 61,799,135.00
  5. Step 5: Solve for x
    x = 61,799,135.00/6,742.44
  6. Step 6: Final answer
    x = 9,165.69

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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.