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Finding the Fourth Proportional to 6,688.08, 9,229.70 and 3,703.84

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Solution

The fourth proportional to 6,688.08, 9,229.70 and 3,703.84 is: 5,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.08 : 9,229.70 = 3,703.84 : x
  2. Step 2: Convert to fraction form
    6,688.08/9,229.70 = 3,703.84/x
  3. Step 3: Cross multiply
    6,688.08x = 9,229.70 × 3,703.84
  4. Step 4: Simplify right side
    6,688.08x = 34,185,332.05
  5. Step 5: Solve for x
    x = 34,185,332.05/6,688.08
  6. Step 6: Final answer
    x = 5,111.38

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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.