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Finding the Fourth Proportional to 6,453.84, 8,924.16 and 5,125.20

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Solution

The fourth proportional to 6,453.84, 8,924.16 and 5,125.20 is: 7,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.84 : 8,924.16 = 5,125.20 : x
  2. Step 2: Convert to fraction form
    6,453.84/8,924.16 = 5,125.20/x
  3. Step 3: Cross multiply
    6,453.84x = 8,924.16 × 5,125.20
  4. Step 4: Simplify right side
    6,453.84x = 45,738,104.83
  5. Step 5: Solve for x
    x = 45,738,104.83/6,453.84
  6. Step 6: Final answer
    x = 7,086.96

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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.