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Finding the Fourth Proportional to 7,573.98, 10,449.99 and 4,884.06

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Solution

The fourth proportional to 7,573.98, 10,449.99 and 4,884.06 is: 6,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.98 : 10,449.99 = 4,884.06 : x
  2. Step 2: Convert to fraction form
    7,573.98/10,449.99 = 4,884.06/x
  3. Step 3: Cross multiply
    7,573.98x = 10,449.99 × 4,884.06
  4. Step 4: Simplify right side
    7,573.98x = 51,038,378.16
  5. Step 5: Solve for x
    x = 51,038,378.16/7,573.98
  6. Step 6: Final answer
    x = 6,738.65

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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.