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Finding the Fourth Proportional to 12,101.14, 16,699.59 and 6,795.95

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Solution

The fourth proportional to 12,101.14, 16,699.59 and 6,795.95 is: 9,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.14 : 16,699.59 = 6,795.95 : x
  2. Step 2: Convert to fraction form
    12,101.14/16,699.59 = 6,795.95/x
  3. Step 3: Cross multiply
    12,101.14x = 16,699.59 × 6,795.95
  4. Step 4: Simplify right side
    12,101.14x = 113,489,495.16
  5. Step 5: Solve for x
    x = 113,489,495.16/12,101.14
  6. Step 6: Final answer
    x = 9,378.42

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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.