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Finding the Fourth Proportional to 7,415.95, 10,229.56 and 4,898.06

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Solution

The fourth proportional to 7,415.95, 10,229.56 and 4,898.06 is: 6,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.95 : 10,229.56 = 4,898.06 : x
  2. Step 2: Convert to fraction form
    7,415.95/10,229.56 = 4,898.06/x
  3. Step 3: Cross multiply
    7,415.95x = 10,229.56 × 4,898.06
  4. Step 4: Simplify right side
    7,415.95x = 50,104,974.16
  5. Step 5: Solve for x
    x = 50,104,974.16/7,415.95
  6. Step 6: Final answer
    x = 6,756.38

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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.