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Finding the Fourth Proportional to 6,407.44, 9,605.84 and 2,712.56

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Solution

The fourth proportional to 6,407.44, 9,605.84 and 2,712.56 is: 4,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.44 : 9,605.84 = 2,712.56 : x
  2. Step 2: Convert to fraction form
    6,407.44/9,605.84 = 2,712.56/x
  3. Step 3: Cross multiply
    6,407.44x = 9,605.84 × 2,712.56
  4. Step 4: Simplify right side
    6,407.44x = 26,056,417.35
  5. Step 5: Solve for x
    x = 26,056,417.35/6,407.44
  6. Step 6: Final answer
    x = 4,066.59

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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.