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Finding the Fourth Proportional to 6,656.40, 9,965.13 and 4,041.72

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Solution

The fourth proportional to 6,656.40, 9,965.13 and 4,041.72 is: 6,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.40 : 9,965.13 = 4,041.72 : x
  2. Step 2: Convert to fraction form
    6,656.40/9,965.13 = 4,041.72/x
  3. Step 3: Cross multiply
    6,656.40x = 9,965.13 × 4,041.72
  4. Step 4: Simplify right side
    6,656.40x = 40,276,265.22
  5. Step 5: Solve for x
    x = 40,276,265.22/6,656.40
  6. Step 6: Final answer
    x = 6,050.76

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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.