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Finding the Fourth Proportional to 9,998.38, 13,797.78 and 6,019.66

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Solution

The fourth proportional to 9,998.38, 13,797.78 and 6,019.66 is: 8,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.38 : 13,797.78 = 6,019.66 : x
  2. Step 2: Convert to fraction form
    9,998.38/13,797.78 = 6,019.66/x
  3. Step 3: Cross multiply
    9,998.38x = 13,797.78 × 6,019.66
  4. Step 4: Simplify right side
    9,998.38x = 83,057,875.37
  5. Step 5: Solve for x
    x = 83,057,875.37/9,998.38
  6. Step 6: Final answer
    x = 8,307.14

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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.