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Finding the Fourth Proportional to 6,407.76, 9,612.05 and 2,709.50

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Solution

The fourth proportional to 6,407.76, 9,612.05 and 2,709.50 is: 4,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.76 : 9,612.05 = 2,709.50 : x
  2. Step 2: Convert to fraction form
    6,407.76/9,612.05 = 2,709.50/x
  3. Step 3: Cross multiply
    6,407.76x = 9,612.05 × 2,709.50
  4. Step 4: Simplify right side
    6,407.76x = 26,043,859.96
  5. Step 5: Solve for x
    x = 26,043,859.96/6,407.76
  6. Step 6: Final answer
    x = 4,064.43

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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.