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Finding the Fourth Proportional to 7,337.84, 10,993.96 and 6,113.12

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Solution

The fourth proportional to 7,337.84, 10,993.96 and 6,113.12 is: 9,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.84 : 10,993.96 = 6,113.12 : x
  2. Step 2: Convert to fraction form
    7,337.84/10,993.96 = 6,113.12/x
  3. Step 3: Cross multiply
    7,337.84x = 10,993.96 × 6,113.12
  4. Step 4: Simplify right side
    7,337.84x = 67,207,396.76
  5. Step 5: Solve for x
    x = 67,207,396.76/7,337.84
  6. Step 6: Final answer
    x = 9,159.02

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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.