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Finding the Fourth Proportional to 6,385.99, 9,580.12 and 2,224.77

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Solution

The fourth proportional to 6,385.99, 9,580.12 and 2,224.77 is: 3,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.99 : 9,580.12 = 2,224.77 : x
  2. Step 2: Convert to fraction form
    6,385.99/9,580.12 = 2,224.77/x
  3. Step 3: Cross multiply
    6,385.99x = 9,580.12 × 2,224.77
  4. Step 4: Simplify right side
    6,385.99x = 21,313,534.60
  5. Step 5: Solve for x
    x = 21,313,534.60/6,385.99
  6. Step 6: Final answer
    x = 3,337.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.