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Finding the Fourth Proportional to 9,057.07, 13,589.50 and 4,900

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Solution

The fourth proportional to 9,057.07, 13,589.50 and 4,900 is: 7,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.07 : 13,589.50 = 4,900 : x
  2. Step 2: Convert to fraction form
    9,057.07/13,589.50 = 4,900/x
  3. Step 3: Cross multiply
    9,057.07x = 13,589.50 × 4,900
  4. Step 4: Simplify right side
    9,057.07x = 66,588,550
  5. Step 5: Solve for x
    x = 66,588,550/9,057.07
  6. Step 6: Final answer
    x = 7,352.11

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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.