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Finding the Fourth Proportional to 7,202.03, 9,929.84 and 6,008.75

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Solution

The fourth proportional to 7,202.03, 9,929.84 and 6,008.75 is: 8,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.03 : 9,929.84 = 6,008.75 : x
  2. Step 2: Convert to fraction form
    7,202.03/9,929.84 = 6,008.75/x
  3. Step 3: Cross multiply
    7,202.03x = 9,929.84 × 6,008.75
  4. Step 4: Simplify right side
    7,202.03x = 59,665,846.41
  5. Step 5: Solve for x
    x = 59,665,846.41/7,202.03
  6. Step 6: Final answer
    x = 8,284.59

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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.