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Finding the Fourth Proportional to 6,342.66, 9,514.08 and 2,643.98

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Solution

The fourth proportional to 6,342.66, 9,514.08 and 2,643.98 is: 3,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.66 : 9,514.08 = 2,643.98 : x
  2. Step 2: Convert to fraction form
    6,342.66/9,514.08 = 2,643.98/x
  3. Step 3: Cross multiply
    6,342.66x = 9,514.08 × 2,643.98
  4. Step 4: Simplify right side
    6,342.66x = 25,155,037.24
  5. Step 5: Solve for x
    x = 25,155,037.24/6,342.66
  6. Step 6: Final answer
    x = 3,966.01

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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.