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Finding the Fourth Proportional to 6,279.42, 9,415.44 and 2,384.10

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Solution

The fourth proportional to 6,279.42, 9,415.44 and 2,384.10 is: 3,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.42 : 9,415.44 = 2,384.10 : x
  2. Step 2: Convert to fraction form
    6,279.42/9,415.44 = 2,384.10/x
  3. Step 3: Cross multiply
    6,279.42x = 9,415.44 × 2,384.10
  4. Step 4: Simplify right side
    6,279.42x = 22,447,350.50
  5. Step 5: Solve for x
    x = 22,447,350.50/6,279.42
  6. Step 6: Final answer
    x = 3,574.75

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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.