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Finding the Fourth Proportional to 10,043.68, 13,859.41 and 5,736.76

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Solution

The fourth proportional to 10,043.68, 13,859.41 and 5,736.76 is: 7,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.68 : 13,859.41 = 5,736.76 : x
  2. Step 2: Convert to fraction form
    10,043.68/13,859.41 = 5,736.76/x
  3. Step 3: Cross multiply
    10,043.68x = 13,859.41 × 5,736.76
  4. Step 4: Simplify right side
    10,043.68x = 79,508,053.96
  5. Step 5: Solve for x
    x = 79,508,053.96/10,043.68
  6. Step 6: Final answer
    x = 7,916.23

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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.