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Finding the Fourth Proportional to 10,259, 14,157.42 and 5,843

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Solution

The fourth proportional to 10,259, 14,157.42 and 5,843 is: 8,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259 : 14,157.42 = 5,843 : x
  2. Step 2: Convert to fraction form
    10,259/14,157.42 = 5,843/x
  3. Step 3: Cross multiply
    10,259x = 14,157.42 × 5,843
  4. Step 4: Simplify right side
    10,259x = 82,721,805.06
  5. Step 5: Solve for x
    x = 82,721,805.06/10,259
  6. Step 6: Final answer
    x = 8,063.34

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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.