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Finding the Fourth Proportional to 9,815.50, 14,725.68 and 2,890

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Solution

The fourth proportional to 9,815.50, 14,725.68 and 2,890 is: 4,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.50 : 14,725.68 = 2,890 : x
  2. Step 2: Convert to fraction form
    9,815.50/14,725.68 = 2,890/x
  3. Step 3: Cross multiply
    9,815.50x = 14,725.68 × 2,890
  4. Step 4: Simplify right side
    9,815.50x = 42,557,215.20
  5. Step 5: Solve for x
    x = 42,557,215.20/9,815.50
  6. Step 6: Final answer
    x = 4,335.72

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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.