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Finding the Fourth Proportional to 10,367.65, 15,546.80 and 2,970.42

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Solution

The fourth proportional to 10,367.65, 15,546.80 and 2,970.42 is: 4,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.65 : 15,546.80 = 2,970.42 : x
  2. Step 2: Convert to fraction form
    10,367.65/15,546.80 = 2,970.42/x
  3. Step 3: Cross multiply
    10,367.65x = 15,546.80 × 2,970.42
  4. Step 4: Simplify right side
    10,367.65x = 46,180,433.07
  5. Step 5: Solve for x
    x = 46,180,433.07/10,367.65
  6. Step 6: Final answer
    x = 4,454.28

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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.