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Finding the Fourth Proportional to 7,853.84, 11,737.48 and 5,749.88

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Solution

The fourth proportional to 7,853.84, 11,737.48 and 5,749.88 is: 8,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.84 : 11,737.48 = 5,749.88 : x
  2. Step 2: Convert to fraction form
    7,853.84/11,737.48 = 5,749.88/x
  3. Step 3: Cross multiply
    7,853.84x = 11,737.48 × 5,749.88
  4. Step 4: Simplify right side
    7,853.84x = 67,489,101.50
  5. Step 5: Solve for x
    x = 67,489,101.50/7,853.84
  6. Step 6: Final answer
    x = 8,593.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.