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Finding the Fourth Proportional to 10,242.60, 15,368.49 and 4,974.72

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Solution

The fourth proportional to 10,242.60, 15,368.49 and 4,974.72 is: 7,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.60 : 15,368.49 = 4,974.72 : x
  2. Step 2: Convert to fraction form
    10,242.60/15,368.49 = 4,974.72/x
  3. Step 3: Cross multiply
    10,242.60x = 15,368.49 × 4,974.72
  4. Step 4: Simplify right side
    10,242.60x = 76,453,934.57
  5. Step 5: Solve for x
    x = 76,453,934.57/10,242.60
  6. Step 6: Final answer
    x = 7,464.31

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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.