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Finding the Fourth Proportional to 7,752.61, 11,628.87 and 2,822.24

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Solution

The fourth proportional to 7,752.61, 11,628.87 and 2,822.24 is: 4,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.61 : 11,628.87 = 2,822.24 : x
  2. Step 2: Convert to fraction form
    7,752.61/11,628.87 = 2,822.24/x
  3. Step 3: Cross multiply
    7,752.61x = 11,628.87 × 2,822.24
  4. Step 4: Simplify right side
    7,752.61x = 32,819,480.56
  5. Step 5: Solve for x
    x = 32,819,480.56/7,752.61
  6. Step 6: Final answer
    x = 4,233.35

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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.