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Finding the Fourth Proportional to 9,998.40, 13,798.38 and 5,750.82

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Solution

The fourth proportional to 9,998.40, 13,798.38 and 5,750.82 is: 7,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.40 : 13,798.38 = 5,750.82 : x
  2. Step 2: Convert to fraction form
    9,998.40/13,798.38 = 5,750.82/x
  3. Step 3: Cross multiply
    9,998.40x = 13,798.38 × 5,750.82
  4. Step 4: Simplify right side
    9,998.40x = 79,351,999.67
  5. Step 5: Solve for x
    x = 79,351,999.67/9,998.40
  6. Step 6: Final answer
    x = 7,936.47

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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.