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Finding the Fourth Proportional to 10,769.48, 14,863.04 and 6,294.74

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Solution

The fourth proportional to 10,769.48, 14,863.04 and 6,294.74 is: 8,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.48 : 14,863.04 = 6,294.74 : x
  2. Step 2: Convert to fraction form
    10,769.48/14,863.04 = 6,294.74/x
  3. Step 3: Cross multiply
    10,769.48x = 14,863.04 × 6,294.74
  4. Step 4: Simplify right side
    10,769.48x = 93,558,866.62
  5. Step 5: Solve for x
    x = 93,558,866.62/10,769.48
  6. Step 6: Final answer
    x = 8,687.41

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1.5x scale

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.