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Finding the Fourth Proportional to 7,937.76, 11,909.04 and 2,744.16

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Solution

The fourth proportional to 7,937.76, 11,909.04 and 2,744.16 is: 4,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.76 : 11,909.04 = 2,744.16 : x
  2. Step 2: Convert to fraction form
    7,937.76/11,909.04 = 2,744.16/x
  3. Step 3: Cross multiply
    7,937.76x = 11,909.04 × 2,744.16
  4. Step 4: Simplify right side
    7,937.76x = 32,680,311.21
  5. Step 5: Solve for x
    x = 32,680,311.21/7,937.76
  6. Step 6: Final answer
    x = 4,117.07

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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.