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Finding the Fourth Proportional to 14,444.14, 21,658.38 and 6,646

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Solution

The fourth proportional to 14,444.14, 21,658.38 and 6,646 is: 9,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,444.14 : 21,658.38 = 6,646 : x
  2. Step 2: Convert to fraction form
    14,444.14/21,658.38 = 6,646/x
  3. Step 3: Cross multiply
    14,444.14x = 21,658.38 × 6,646
  4. Step 4: Simplify right side
    14,444.14x = 143,941,593.48
  5. Step 5: Solve for x
    x = 143,941,593.48/14,444.14
  6. Step 6: Final answer
    x = 9,965.40

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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.