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Finding the Fourth Proportional to 7,734.02, 11,601.45 and 2,187.77

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Solution

The fourth proportional to 7,734.02, 11,601.45 and 2,187.77 is: 3,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.02 : 11,601.45 = 2,187.77 : x
  2. Step 2: Convert to fraction form
    7,734.02/11,601.45 = 2,187.77/x
  3. Step 3: Cross multiply
    7,734.02x = 11,601.45 × 2,187.77
  4. Step 4: Simplify right side
    7,734.02x = 25,381,246.26
  5. Step 5: Solve for x
    x = 25,381,246.26/7,734.02
  6. Step 6: Final answer
    x = 3,281.77

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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.