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Finding the Fourth Proportional to 9,902.51, 14,861.97 and 4,973.56

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Solution

The fourth proportional to 9,902.51, 14,861.97 and 4,973.56 is: 7,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.51 : 14,861.97 = 4,973.56 : x
  2. Step 2: Convert to fraction form
    9,902.51/14,861.97 = 4,973.56/x
  3. Step 3: Cross multiply
    9,902.51x = 14,861.97 × 4,973.56
  4. Step 4: Simplify right side
    9,902.51x = 73,916,899.51
  5. Step 5: Solve for x
    x = 73,916,899.51/9,902.51
  6. Step 6: Final answer
    x = 7,464.46

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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.