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Finding the Fourth Proportional to 6,407.43, 9,612.43 and 2,709.65

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Solution

The fourth proportional to 6,407.43, 9,612.43 and 2,709.65 is: 4,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.43 : 9,612.43 = 2,709.65 : x
  2. Step 2: Convert to fraction form
    6,407.43/9,612.43 = 2,709.65/x
  3. Step 3: Cross multiply
    6,407.43x = 9,612.43 × 2,709.65
  4. Step 4: Simplify right side
    6,407.43x = 26,046,272.89
  5. Step 5: Solve for x
    x = 26,046,272.89/6,407.43
  6. Step 6: Final answer
    x = 4,065.01

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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.