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Finding the Fourth Proportional to 7,115.72, 9,820.67 and 3,972.11

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Solution

The fourth proportional to 7,115.72, 9,820.67 and 3,972.11 is: 5,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.72 : 9,820.67 = 3,972.11 : x
  2. Step 2: Convert to fraction form
    7,115.72/9,820.67 = 3,972.11/x
  3. Step 3: Cross multiply
    7,115.72x = 9,820.67 × 3,972.11
  4. Step 4: Simplify right side
    7,115.72x = 39,008,712.55
  5. Step 5: Solve for x
    x = 39,008,712.55/7,115.72
  6. Step 6: Final answer
    x = 5,482.05

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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.