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Finding the Fourth Proportional to 10,858.46, 14,985 and 6,381.38

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Solution

The fourth proportional to 10,858.46, 14,985 and 6,381.38 is: 8,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.46 : 14,985 = 6,381.38 : x
  2. Step 2: Convert to fraction form
    10,858.46/14,985 = 6,381.38/x
  3. Step 3: Cross multiply
    10,858.46x = 14,985 × 6,381.38
  4. Step 4: Simplify right side
    10,858.46x = 95,625,016.76
  5. Step 5: Solve for x
    x = 95,625,016.76/10,858.46
  6. Step 6: Final answer
    x = 8,806.50

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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.