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Finding the Fourth Proportional to 7,118.64, 9,822.60 and 3,974.76

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Solution

The fourth proportional to 7,118.64, 9,822.60 and 3,974.76 is: 5,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.64 : 9,822.60 = 3,974.76 : x
  2. Step 2: Convert to fraction form
    7,118.64/9,822.60 = 3,974.76/x
  3. Step 3: Cross multiply
    7,118.64x = 9,822.60 × 3,974.76
  4. Step 4: Simplify right side
    7,118.64x = 39,042,477.58
  5. Step 5: Solve for x
    x = 39,042,477.58/7,118.64
  6. Step 6: Final answer
    x = 5,484.54

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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.