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Finding the Fourth Proportional to 10,525.40, 14,524.40 and 5,809.66

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Solution

The fourth proportional to 10,525.40, 14,524.40 and 5,809.66 is: 8,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.40 : 14,524.40 = 5,809.66 : x
  2. Step 2: Convert to fraction form
    10,525.40/14,524.40 = 5,809.66/x
  3. Step 3: Cross multiply
    10,525.40x = 14,524.40 × 5,809.66
  4. Step 4: Simplify right side
    10,525.40x = 84,381,825.70
  5. Step 5: Solve for x
    x = 84,381,825.70/10,525.40
  6. Step 6: Final answer
    x = 8,016.97

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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.