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Finding the Fourth Proportional to 6,983.52, 10,475.04 and 3,287.52

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Solution

The fourth proportional to 6,983.52, 10,475.04 and 3,287.52 is: 4,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.52 : 10,475.04 = 3,287.52 : x
  2. Step 2: Convert to fraction form
    6,983.52/10,475.04 = 3,287.52/x
  3. Step 3: Cross multiply
    6,983.52x = 10,475.04 × 3,287.52
  4. Step 4: Simplify right side
    6,983.52x = 34,436,903.50
  5. Step 5: Solve for x
    x = 34,436,903.50/6,983.52
  6. Step 6: Final answer
    x = 4,931.17

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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.