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Finding the Fourth Proportional to 6,409.48, 9,614.56 and 2,711.20

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Solution

The fourth proportional to 6,409.48, 9,614.56 and 2,711.20 is: 4,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.48 : 9,614.56 = 2,711.20 : x
  2. Step 2: Convert to fraction form
    6,409.48/9,614.56 = 2,711.20/x
  3. Step 3: Cross multiply
    6,409.48x = 9,614.56 × 2,711.20
  4. Step 4: Simplify right side
    6,409.48x = 26,066,995.07
  5. Step 5: Solve for x
    x = 26,066,995.07/6,409.48
  6. Step 6: Final answer
    x = 4,066.94

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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.