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Finding the Fourth Proportional to 9,874.91, 13,627.70 and 6,097.95

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Solution

The fourth proportional to 9,874.91, 13,627.70 and 6,097.95 is: 8,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.91 : 13,627.70 = 6,097.95 : x
  2. Step 2: Convert to fraction form
    9,874.91/13,627.70 = 6,097.95/x
  3. Step 3: Cross multiply
    9,874.91x = 13,627.70 × 6,097.95
  4. Step 4: Simplify right side
    9,874.91x = 83,101,033.22
  5. Step 5: Solve for x
    x = 83,101,033.22/9,874.91
  6. Step 6: Final answer
    x = 8,415.37

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1.5x scale

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.