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Finding the Fourth Proportional to 10,305.84, 14,221.80 and 6,114

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Solution

The fourth proportional to 10,305.84, 14,221.80 and 6,114 is: 8,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.84 : 14,221.80 = 6,114 : x
  2. Step 2: Convert to fraction form
    10,305.84/14,221.80 = 6,114/x
  3. Step 3: Cross multiply
    10,305.84x = 14,221.80 × 6,114
  4. Step 4: Simplify right side
    10,305.84x = 86,952,085.20
  5. Step 5: Solve for x
    x = 86,952,085.20/10,305.84
  6. Step 6: Final answer
    x = 8,437.17

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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.