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Finding the Fourth Proportional to 10,663.63, 14,716.13 and 5,947.81

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Solution

The fourth proportional to 10,663.63, 14,716.13 and 5,947.81 is: 8,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.63 : 14,716.13 = 5,947.81 : x
  2. Step 2: Convert to fraction form
    10,663.63/14,716.13 = 5,947.81/x
  3. Step 3: Cross multiply
    10,663.63x = 14,716.13 × 5,947.81
  4. Step 4: Simplify right side
    10,663.63x = 87,528,781.97
  5. Step 5: Solve for x
    x = 87,528,781.97/10,663.63
  6. Step 6: Final answer
    x = 8,208.16

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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.