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Finding the Fourth Proportional to 6,908.12, 9,538.83 and 5,632.21

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Solution

The fourth proportional to 6,908.12, 9,538.83 and 5,632.21 is: 7,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.12 : 9,538.83 = 5,632.21 : x
  2. Step 2: Convert to fraction form
    6,908.12/9,538.83 = 5,632.21/x
  3. Step 3: Cross multiply
    6,908.12x = 9,538.83 × 5,632.21
  4. Step 4: Simplify right side
    6,908.12x = 53,724,693.71
  5. Step 5: Solve for x
    x = 53,724,693.71/6,908.12
  6. Step 6: Final answer
    x = 7,777.04

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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.