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Finding the Fourth Proportional to 10,763.82, 14,855.40 and 6,048

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Solution

The fourth proportional to 10,763.82, 14,855.40 and 6,048 is: 8,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.82 : 14,855.40 = 6,048 : x
  2. Step 2: Convert to fraction form
    10,763.82/14,855.40 = 6,048/x
  3. Step 3: Cross multiply
    10,763.82x = 14,855.40 × 6,048
  4. Step 4: Simplify right side
    10,763.82x = 89,845,459.20
  5. Step 5: Solve for x
    x = 89,845,459.20/10,763.82
  6. Step 6: Final answer
    x = 8,346.99

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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.