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Finding the Fourth Proportional to 9,950, 14,913.93 and 5,024.12

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Solution

The fourth proportional to 9,950, 14,913.93 and 5,024.12 is: 7,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950 : 14,913.93 = 5,024.12 : x
  2. Step 2: Convert to fraction form
    9,950/14,913.93 = 5,024.12/x
  3. Step 3: Cross multiply
    9,950x = 14,913.93 × 5,024.12
  4. Step 4: Simplify right side
    9,950x = 74,929,373.99
  5. Step 5: Solve for x
    x = 74,929,373.99/9,950
  6. Step 6: Final answer
    x = 7,530.59

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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.