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Finding the Fourth Proportional to 6,213, 8,569.60 and 4,087.86

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Solution

The fourth proportional to 6,213, 8,569.60 and 4,087.86 is: 5,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213 : 8,569.60 = 4,087.86 : x
  2. Step 2: Convert to fraction form
    6,213/8,569.60 = 4,087.86/x
  3. Step 3: Cross multiply
    6,213x = 8,569.60 × 4,087.86
  4. Step 4: Simplify right side
    6,213x = 35,031,325.06
  5. Step 5: Solve for x
    x = 35,031,325.06/6,213
  6. Step 6: Final answer
    x = 5,638.39

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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.