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Finding the Fourth Proportional to 10,699.97, 14,770.02 and 9,578.83

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Solution

The fourth proportional to 10,699.97, 14,770.02 and 9,578.83 is: 13,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.97 : 14,770.02 = 9,578.83 : x
  2. Step 2: Convert to fraction form
    10,699.97/14,770.02 = 9,578.83/x
  3. Step 3: Cross multiply
    10,699.97x = 14,770.02 × 9,578.83
  4. Step 4: Simplify right side
    10,699.97x = 141,479,510.68
  5. Step 5: Solve for x
    x = 141,479,510.68/10,699.97
  6. Step 6: Final answer
    x = 13,222.42

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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.