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Finding the Fourth Proportional to 7,321.64, 10,981.12 and 1,984.92

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Solution

The fourth proportional to 7,321.64, 10,981.12 and 1,984.92 is: 2,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.64 : 10,981.12 = 1,984.92 : x
  2. Step 2: Convert to fraction form
    7,321.64/10,981.12 = 1,984.92/x
  3. Step 3: Cross multiply
    7,321.64x = 10,981.12 × 1,984.92
  4. Step 4: Simplify right side
    7,321.64x = 21,796,644.71
  5. Step 5: Solve for x
    x = 21,796,644.71/7,321.64
  6. Step 6: Final answer
    x = 2,977.02

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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.