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Finding the Fourth Proportional to 6,407.72, 9,612.88 and 2,709.94

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Solution

The fourth proportional to 6,407.72, 9,612.88 and 2,709.94 is: 4,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.72 : 9,612.88 = 2,709.94 : x
  2. Step 2: Convert to fraction form
    6,407.72/9,612.88 = 2,709.94/x
  3. Step 3: Cross multiply
    6,407.72x = 9,612.88 × 2,709.94
  4. Step 4: Simplify right side
    6,407.72x = 26,050,328.03
  5. Step 5: Solve for x
    x = 26,050,328.03/6,407.72
  6. Step 6: Final answer
    x = 4,065.46

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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.