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Finding the Fourth Proportional to 5,226.38, 7,868.08 and 4,767.11

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Solution

The fourth proportional to 5,226.38, 7,868.08 and 4,767.11 is: 7,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.38 : 7,868.08 = 4,767.11 : x
  2. Step 2: Convert to fraction form
    5,226.38/7,868.08 = 4,767.11/x
  3. Step 3: Cross multiply
    5,226.38x = 7,868.08 × 4,767.11
  4. Step 4: Simplify right side
    5,226.38x = 37,507,939.67
  5. Step 5: Solve for x
    x = 37,507,939.67/5,226.38
  6. Step 6: Final answer
    x = 7,176.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.