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Finding the Fourth Proportional to 7,234.64, 9,984.09 and 4,250.45

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Solution

The fourth proportional to 7,234.64, 9,984.09 and 4,250.45 is: 5,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.64 : 9,984.09 = 4,250.45 : x
  2. Step 2: Convert to fraction form
    7,234.64/9,984.09 = 4,250.45/x
  3. Step 3: Cross multiply
    7,234.64x = 9,984.09 × 4,250.45
  4. Step 4: Simplify right side
    7,234.64x = 42,436,875.34
  5. Step 5: Solve for x
    x = 42,436,875.34/7,234.64
  6. Step 6: Final answer
    x = 5,865.79

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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.