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Finding the Fourth Proportional to 6,626.89, 9,931.02 and 5,234.14

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Solution

The fourth proportional to 6,626.89, 9,931.02 and 5,234.14 is: 7,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.89 : 9,931.02 = 5,234.14 : x
  2. Step 2: Convert to fraction form
    6,626.89/9,931.02 = 5,234.14/x
  3. Step 3: Cross multiply
    6,626.89x = 9,931.02 × 5,234.14
  4. Step 4: Simplify right side
    6,626.89x = 51,980,349.02
  5. Step 5: Solve for x
    x = 51,980,349.02/6,626.89
  6. Step 6: Final answer
    x = 7,843.85

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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.