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Finding the Fourth Proportional to 6,536.32, 9,014 and 5,041.86

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Solution

The fourth proportional to 6,536.32, 9,014 and 5,041.86 is: 6,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.32 : 9,014 = 5,041.86 : x
  2. Step 2: Convert to fraction form
    6,536.32/9,014 = 5,041.86/x
  3. Step 3: Cross multiply
    6,536.32x = 9,014 × 5,041.86
  4. Step 4: Simplify right side
    6,536.32x = 45,447,326.04
  5. Step 5: Solve for x
    x = 45,447,326.04/6,536.32
  6. Step 6: Final answer
    x = 6,953.04

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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.