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Finding the Fourth Proportional to 6,011.72, 9,008.92 and 3,409.16

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Solution

The fourth proportional to 6,011.72, 9,008.92 and 3,409.16 is: 5,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.72 : 9,008.92 = 3,409.16 : x
  2. Step 2: Convert to fraction form
    6,011.72/9,008.92 = 3,409.16/x
  3. Step 3: Cross multiply
    6,011.72x = 9,008.92 × 3,409.16
  4. Step 4: Simplify right side
    6,011.72x = 30,712,849.71
  5. Step 5: Solve for x
    x = 30,712,849.71/6,011.72
  6. Step 6: Final answer
    x = 5,108.83

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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.