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Finding the Fourth Proportional to 6,117.90, 8,584.50 and 6,117.90

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Solution

The fourth proportional to 6,117.90, 8,584.50 and 6,117.90 is: 8,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.90 : 8,584.50 = 6,117.90 : x
  2. Step 2: Convert to fraction form
    6,117.90/8,584.50 = 6,117.90/x
  3. Step 3: Cross multiply
    6,117.90x = 8,584.50 × 6,117.90
  4. Step 4: Simplify right side
    6,117.90x = 52,519,112.55
  5. Step 5: Solve for x
    x = 52,519,112.55/6,117.90
  6. Step 6: Final answer
    x = 8,584.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.