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Finding the Fourth Proportional to 7,250.74, 9,983.76 and 6,349.32

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Solution

The fourth proportional to 7,250.74, 9,983.76 and 6,349.32 is: 8,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.74 : 9,983.76 = 6,349.32 : x
  2. Step 2: Convert to fraction form
    7,250.74/9,983.76 = 6,349.32/x
  3. Step 3: Cross multiply
    7,250.74x = 9,983.76 × 6,349.32
  4. Step 4: Simplify right side
    7,250.74x = 63,390,087.04
  5. Step 5: Solve for x
    x = 63,390,087.04/7,250.74
  6. Step 6: Final answer
    x = 8,742.57

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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.