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Finding the Fourth Proportional to 10,574.75, 14,593.16 and 5,859.34

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Solution

The fourth proportional to 10,574.75, 14,593.16 and 5,859.34 is: 8,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.75 : 14,593.16 = 5,859.34 : x
  2. Step 2: Convert to fraction form
    10,574.75/14,593.16 = 5,859.34/x
  3. Step 3: Cross multiply
    10,574.75x = 14,593.16 × 5,859.34
  4. Step 4: Simplify right side
    10,574.75x = 85,506,183.85
  5. Step 5: Solve for x
    x = 85,506,183.85/10,574.75
  6. Step 6: Final answer
    x = 8,085.88

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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.