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Finding the Fourth Proportional to 7,806.30, 10,793.44 and 6,822.16

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Solution

The fourth proportional to 7,806.30, 10,793.44 and 6,822.16 is: 9,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.30 : 10,793.44 = 6,822.16 : x
  2. Step 2: Convert to fraction form
    7,806.30/10,793.44 = 6,822.16/x
  3. Step 3: Cross multiply
    7,806.30x = 10,793.44 × 6,822.16
  4. Step 4: Simplify right side
    7,806.30x = 73,634,574.63
  5. Step 5: Solve for x
    x = 73,634,574.63/7,806.30
  6. Step 6: Final answer
    x = 9,432.71

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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.