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Finding the Fourth Proportional to 10,794.40, 14,895.70 and 6,078.38

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Solution

The fourth proportional to 10,794.40, 14,895.70 and 6,078.38 is: 8,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.40 : 14,895.70 = 6,078.38 : x
  2. Step 2: Convert to fraction form
    10,794.40/14,895.70 = 6,078.38/x
  3. Step 3: Cross multiply
    10,794.40x = 14,895.70 × 6,078.38
  4. Step 4: Simplify right side
    10,794.40x = 90,541,635.29
  5. Step 5: Solve for x
    x = 90,541,635.29/10,794.40
  6. Step 6: Final answer
    x = 8,387.84

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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.