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Finding the Fourth Proportional to 10,241, 14,133.93 and 5,765.63

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Solution

The fourth proportional to 10,241, 14,133.93 and 5,765.63 is: 7,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241 : 14,133.93 = 5,765.63 : x
  2. Step 2: Convert to fraction form
    10,241/14,133.93 = 5,765.63/x
  3. Step 3: Cross multiply
    10,241x = 14,133.93 × 5,765.63
  4. Step 4: Simplify right side
    10,241x = 81,491,010.83
  5. Step 5: Solve for x
    x = 81,491,010.83/10,241
  6. Step 6: Final answer
    x = 7,957.33

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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.