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Finding the Fourth Proportional to 6,587.59, 9,858.28 and 5,402.97

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Solution

The fourth proportional to 6,587.59, 9,858.28 and 5,402.97 is: 8,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.59 : 9,858.28 = 5,402.97 : x
  2. Step 2: Convert to fraction form
    6,587.59/9,858.28 = 5,402.97/x
  3. Step 3: Cross multiply
    6,587.59x = 9,858.28 × 5,402.97
  4. Step 4: Simplify right side
    6,587.59x = 53,263,991.09
  5. Step 5: Solve for x
    x = 53,263,991.09/6,587.59
  6. Step 6: Final answer
    x = 8,085.50

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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.