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Finding the Fourth Proportional to 9,998.49, 14,999.78 and 3,758.49

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Solution

The fourth proportional to 9,998.49, 14,999.78 and 3,758.49 is: 5,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.49 : 14,999.78 = 3,758.49 : x
  2. Step 2: Convert to fraction form
    9,998.49/14,999.78 = 3,758.49/x
  3. Step 3: Cross multiply
    9,998.49x = 14,999.78 × 3,758.49
  4. Step 4: Simplify right side
    9,998.49x = 56,376,523.13
  5. Step 5: Solve for x
    x = 56,376,523.13/9,998.49
  6. Step 6: Final answer
    x = 5,638.50

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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.