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Finding the Fourth Proportional to 6,884.59, 9,499.93 and 4,051.34

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Solution

The fourth proportional to 6,884.59, 9,499.93 and 4,051.34 is: 5,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.59 : 9,499.93 = 4,051.34 : x
  2. Step 2: Convert to fraction form
    6,884.59/9,499.93 = 4,051.34/x
  3. Step 3: Cross multiply
    6,884.59x = 9,499.93 × 4,051.34
  4. Step 4: Simplify right side
    6,884.59x = 38,487,446.41
  5. Step 5: Solve for x
    x = 38,487,446.41/6,884.59
  6. Step 6: Final answer
    x = 5,590.38

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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.