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Finding the Fourth Proportional to 6,401.70, 9,558.54 and 5,700.24

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Solution

The fourth proportional to 6,401.70, 9,558.54 and 5,700.24 is: 8,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.70 : 9,558.54 = 5,700.24 : x
  2. Step 2: Convert to fraction form
    6,401.70/9,558.54 = 5,700.24/x
  3. Step 3: Cross multiply
    6,401.70x = 9,558.54 × 5,700.24
  4. Step 4: Simplify right side
    6,401.70x = 54,485,972.05
  5. Step 5: Solve for x
    x = 54,485,972.05/6,401.70
  6. Step 6: Final answer
    x = 8,511.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.