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Finding the Fourth Proportional to 7,124.64, 9,832.32 and 3,981.12

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Solution

The fourth proportional to 7,124.64, 9,832.32 and 3,981.12 is: 5,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.64 : 9,832.32 = 3,981.12 : x
  2. Step 2: Convert to fraction form
    7,124.64/9,832.32 = 3,981.12/x
  3. Step 3: Cross multiply
    7,124.64x = 9,832.32 × 3,981.12
  4. Step 4: Simplify right side
    7,124.64x = 39,143,645.80
  5. Step 5: Solve for x
    x = 39,143,645.80/7,124.64
  6. Step 6: Final answer
    x = 5,494.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.