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Finding the Fourth Proportional to 7,124.75, 9,832.16 and 3,981.01

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Solution

The fourth proportional to 7,124.75, 9,832.16 and 3,981.01 is: 5,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.75 : 9,832.16 = 3,981.01 : x
  2. Step 2: Convert to fraction form
    7,124.75/9,832.16 = 3,981.01/x
  3. Step 3: Cross multiply
    7,124.75x = 9,832.16 × 3,981.01
  4. Step 4: Simplify right side
    7,124.75x = 39,141,927.28
  5. Step 5: Solve for x
    x = 39,141,927.28/7,124.75
  6. Step 6: Final answer
    x = 5,493.80

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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.