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Finding the Fourth Proportional to 7,811.92, 10,780.80 and 4,410.07

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Solution

The fourth proportional to 7,811.92, 10,780.80 and 4,410.07 is: 6,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.92 : 10,780.80 = 4,410.07 : x
  2. Step 2: Convert to fraction form
    7,811.92/10,780.80 = 4,410.07/x
  3. Step 3: Cross multiply
    7,811.92x = 10,780.80 × 4,410.07
  4. Step 4: Simplify right side
    7,811.92x = 47,544,082.66
  5. Step 5: Solve for x
    x = 47,544,082.66/7,811.92
  6. Step 6: Final answer
    x = 6,086.09

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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.