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Finding the Fourth Proportional to 10,693.05, 14,758.10 and 6,444.80

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Solution

The fourth proportional to 10,693.05, 14,758.10 and 6,444.80 is: 8,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.05 : 14,758.10 = 6,444.80 : x
  2. Step 2: Convert to fraction form
    10,693.05/14,758.10 = 6,444.80/x
  3. Step 3: Cross multiply
    10,693.05x = 14,758.10 × 6,444.80
  4. Step 4: Simplify right side
    10,693.05x = 95,112,976.38
  5. Step 5: Solve for x
    x = 95,112,976.38/10,693.05
  6. Step 6: Final answer
    x = 8,894.84

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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.