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Finding the Fourth Proportional to 10,194.67, 15,281.67 and 6,908.09

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Solution

The fourth proportional to 10,194.67, 15,281.67 and 6,908.09 is: 10,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.67 : 15,281.67 = 6,908.09 : x
  2. Step 2: Convert to fraction form
    10,194.67/15,281.67 = 6,908.09/x
  3. Step 3: Cross multiply
    10,194.67x = 15,281.67 × 6,908.09
  4. Step 4: Simplify right side
    10,194.67x = 105,567,117.17
  5. Step 5: Solve for x
    x = 105,567,117.17/10,194.67
  6. Step 6: Final answer
    x = 10,355.13

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1.5x scale

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.