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Finding the Fourth Proportional to 9,410, 14,115.40 and 3,567

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Solution

The fourth proportional to 9,410, 14,115.40 and 3,567 is: 5,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410 : 14,115.40 = 3,567 : x
  2. Step 2: Convert to fraction form
    9,410/14,115.40 = 3,567/x
  3. Step 3: Cross multiply
    9,410x = 14,115.40 × 3,567
  4. Step 4: Simplify right side
    9,410x = 50,349,631.80
  5. Step 5: Solve for x
    x = 50,349,631.80/9,410
  6. Step 6: Final answer
    x = 5,350.65

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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.