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Finding the Fourth Proportional to 9,998.26, 13,795.02 and 6,805.78

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Solution

The fourth proportional to 9,998.26, 13,795.02 and 6,805.78 is: 9,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.26 : 13,795.02 = 6,805.78 : x
  2. Step 2: Convert to fraction form
    9,998.26/13,795.02 = 6,805.78/x
  3. Step 3: Cross multiply
    9,998.26x = 13,795.02 × 6,805.78
  4. Step 4: Simplify right side
    9,998.26x = 93,885,871.22
  5. Step 5: Solve for x
    x = 93,885,871.22/9,998.26
  6. Step 6: Final answer
    x = 9,390.22

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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.