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Finding the Fourth Proportional to 6,688.72, 10,036.80 and 3,402.40

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Solution

The fourth proportional to 6,688.72, 10,036.80 and 3,402.40 is: 5,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.72 : 10,036.80 = 3,402.40 : x
  2. Step 2: Convert to fraction form
    6,688.72/10,036.80 = 3,402.40/x
  3. Step 3: Cross multiply
    6,688.72x = 10,036.80 × 3,402.40
  4. Step 4: Simplify right side
    6,688.72x = 34,149,208.32
  5. Step 5: Solve for x
    x = 34,149,208.32/6,688.72
  6. Step 6: Final answer
    x = 5,105.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.