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Finding the Fourth Proportional to 7,194.15, 9,927.45 and 4,209.84

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Solution

The fourth proportional to 7,194.15, 9,927.45 and 4,209.84 is: 5,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.15 : 9,927.45 = 4,209.84 : x
  2. Step 2: Convert to fraction form
    7,194.15/9,927.45 = 4,209.84/x
  3. Step 3: Cross multiply
    7,194.15x = 9,927.45 × 4,209.84
  4. Step 4: Simplify right side
    7,194.15x = 41,792,976.11
  5. Step 5: Solve for x
    x = 41,792,976.11/7,194.15
  6. Step 6: Final answer
    x = 5,809.30

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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.