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Finding the Fourth Proportional to 7,217.34, 9,964.52 and 5,894.20

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Solution

The fourth proportional to 7,217.34, 9,964.52 and 5,894.20 is: 8,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.34 : 9,964.52 = 5,894.20 : x
  2. Step 2: Convert to fraction form
    7,217.34/9,964.52 = 5,894.20/x
  3. Step 3: Cross multiply
    7,217.34x = 9,964.52 × 5,894.20
  4. Step 4: Simplify right side
    7,217.34x = 58,732,873.78
  5. Step 5: Solve for x
    x = 58,732,873.78/7,217.34
  6. Step 6: Final answer
    x = 8,137.75

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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.