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Finding the Fourth Proportional to 7,789.61, 10,750.61 and 4,433.24

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Solution

The fourth proportional to 7,789.61, 10,750.61 and 4,433.24 is: 6,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.61 : 10,750.61 = 4,433.24 : x
  2. Step 2: Convert to fraction form
    7,789.61/10,750.61 = 4,433.24/x
  3. Step 3: Cross multiply
    7,789.61x = 10,750.61 × 4,433.24
  4. Step 4: Simplify right side
    7,789.61x = 47,660,012.11
  5. Step 5: Solve for x
    x = 47,660,012.11/7,789.61
  6. Step 6: Final answer
    x = 6,118.41

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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.