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Finding the Fourth Proportional to 10,494.86, 15,742.44 and 2,703.65

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Solution

The fourth proportional to 10,494.86, 15,742.44 and 2,703.65 is: 4,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.86 : 15,742.44 = 2,703.65 : x
  2. Step 2: Convert to fraction form
    10,494.86/15,742.44 = 2,703.65/x
  3. Step 3: Cross multiply
    10,494.86x = 15,742.44 × 2,703.65
  4. Step 4: Simplify right side
    10,494.86x = 42,561,969.19
  5. Step 5: Solve for x
    x = 42,561,969.19/10,494.86
  6. Step 6: Final answer
    x = 4,055.51

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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.