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Finding the Fourth Proportional to 9,967.52, 14,951.54 and 3,042

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Solution

The fourth proportional to 9,967.52, 14,951.54 and 3,042 is: 4,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.52 : 14,951.54 = 3,042 : x
  2. Step 2: Convert to fraction form
    9,967.52/14,951.54 = 3,042/x
  3. Step 3: Cross multiply
    9,967.52x = 14,951.54 × 3,042
  4. Step 4: Simplify right side
    9,967.52x = 45,482,584.68
  5. Step 5: Solve for x
    x = 45,482,584.68/9,967.52
  6. Step 6: Final answer
    x = 4,563.08

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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.