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Finding the Fourth Proportional to 10,713.71, 14,805.26 and 8,056.51

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Solution

The fourth proportional to 10,713.71, 14,805.26 and 8,056.51 is: 11,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.71 : 14,805.26 = 8,056.51 : x
  2. Step 2: Convert to fraction form
    10,713.71/14,805.26 = 8,056.51/x
  3. Step 3: Cross multiply
    10,713.71x = 14,805.26 × 8,056.51
  4. Step 4: Simplify right side
    10,713.71x = 119,278,725.24
  5. Step 5: Solve for x
    x = 119,278,725.24/10,713.71
  6. Step 6: Final answer
    x = 11,133.28

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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.