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Finding the Fourth Proportional to 6,434.32, 9,654.72 and 2,974

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Solution

The fourth proportional to 6,434.32, 9,654.72 and 2,974 is: 4,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.32 : 9,654.72 = 2,974 : x
  2. Step 2: Convert to fraction form
    6,434.32/9,654.72 = 2,974/x
  3. Step 3: Cross multiply
    6,434.32x = 9,654.72 × 2,974
  4. Step 4: Simplify right side
    6,434.32x = 28,713,137.28
  5. Step 5: Solve for x
    x = 28,713,137.28/6,434.32
  6. Step 6: Final answer
    x = 4,462.50

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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.