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Finding the Fourth Proportional to 10,246, 15,367.62 and 4,001.65

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Solution

The fourth proportional to 10,246, 15,367.62 and 4,001.65 is: 6,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246 : 15,367.62 = 4,001.65 : x
  2. Step 2: Convert to fraction form
    10,246/15,367.62 = 4,001.65/x
  3. Step 3: Cross multiply
    10,246x = 15,367.62 × 4,001.65
  4. Step 4: Simplify right side
    10,246x = 61,495,836.57
  5. Step 5: Solve for x
    x = 61,495,836.57/10,246
  6. Step 6: Final answer
    x = 6,001.94

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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.