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Finding the Fourth Proportional to 10,167.40, 15,246.40 and 4,620.52

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Solution

The fourth proportional to 10,167.40, 15,246.40 and 4,620.52 is: 6,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.40 : 15,246.40 = 4,620.52 : x
  2. Step 2: Convert to fraction form
    10,167.40/15,246.40 = 4,620.52/x
  3. Step 3: Cross multiply
    10,167.40x = 15,246.40 × 4,620.52
  4. Step 4: Simplify right side
    10,167.40x = 70,446,296.13
  5. Step 5: Solve for x
    x = 70,446,296.13/10,167.40
  6. Step 6: Final answer
    x = 6,928.64

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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.