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Finding the Fourth Proportional to 7,178.24, 9,904.92 and 4,033.82

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Solution

The fourth proportional to 7,178.24, 9,904.92 and 4,033.82 is: 5,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.24 : 9,904.92 = 4,033.82 : x
  2. Step 2: Convert to fraction form
    7,178.24/9,904.92 = 4,033.82/x
  3. Step 3: Cross multiply
    7,178.24x = 9,904.92 × 4,033.82
  4. Step 4: Simplify right side
    7,178.24x = 39,954,664.39
  5. Step 5: Solve for x
    x = 39,954,664.39/7,178.24
  6. Step 6: Final answer
    x = 5,566.08

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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.