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Finding the Fourth Proportional to 10,663.87, 14,716.55 and 5,949.07

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Solution

The fourth proportional to 10,663.87, 14,716.55 and 5,949.07 is: 8,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.87 : 14,716.55 = 5,949.07 : x
  2. Step 2: Convert to fraction form
    10,663.87/14,716.55 = 5,949.07/x
  3. Step 3: Cross multiply
    10,663.87x = 14,716.55 × 5,949.07
  4. Step 4: Simplify right side
    10,663.87x = 87,549,786.11
  5. Step 5: Solve for x
    x = 87,549,786.11/10,663.87
  6. Step 6: Final answer
    x = 8,209.94

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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.