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Finding the Fourth Proportional to 7,311.58, 10,972.23 and 6,825.58

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Solution

The fourth proportional to 7,311.58, 10,972.23 and 6,825.58 is: 10,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.58 : 10,972.23 = 6,825.58 : x
  2. Step 2: Convert to fraction form
    7,311.58/10,972.23 = 6,825.58/x
  3. Step 3: Cross multiply
    7,311.58x = 10,972.23 × 6,825.58
  4. Step 4: Simplify right side
    7,311.58x = 74,891,833.64
  5. Step 5: Solve for x
    x = 74,891,833.64/7,311.58
  6. Step 6: Final answer
    x = 10,242.91

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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.