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Finding the Fourth Proportional to 6,497.12, 8,965.47 and 3,663.93

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Solution

The fourth proportional to 6,497.12, 8,965.47 and 3,663.93 is: 5,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.12 : 8,965.47 = 3,663.93 : x
  2. Step 2: Convert to fraction form
    6,497.12/8,965.47 = 3,663.93/x
  3. Step 3: Cross multiply
    6,497.12x = 8,965.47 × 3,663.93
  4. Step 4: Simplify right side
    6,497.12x = 32,848,854.50
  5. Step 5: Solve for x
    x = 32,848,854.50/6,497.12
  6. Step 6: Final answer
    x = 5,055.91

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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.