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Finding the Fourth Proportional to 9,998.93, 14,984.42 and 4,731.90

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Solution

The fourth proportional to 9,998.93, 14,984.42 and 4,731.90 is: 7,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.93 : 14,984.42 = 4,731.90 : x
  2. Step 2: Convert to fraction form
    9,998.93/14,984.42 = 4,731.90/x
  3. Step 3: Cross multiply
    9,998.93x = 14,984.42 × 4,731.90
  4. Step 4: Simplify right side
    9,998.93x = 70,904,753.34
  5. Step 5: Solve for x
    x = 70,904,753.34/9,998.93
  6. Step 6: Final answer
    x = 7,091.24

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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.