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Finding the Fourth Proportional to 10,291.65, 14,202.34 and 5,815.36

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Solution

The fourth proportional to 10,291.65, 14,202.34 and 5,815.36 is: 8,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.65 : 14,202.34 = 5,815.36 : x
  2. Step 2: Convert to fraction form
    10,291.65/14,202.34 = 5,815.36/x
  3. Step 3: Cross multiply
    10,291.65x = 14,202.34 × 5,815.36
  4. Step 4: Simplify right side
    10,291.65x = 82,591,619.85
  5. Step 5: Solve for x
    x = 82,591,619.85/10,291.65
  6. Step 6: Final answer
    x = 8,025.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.