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Finding the Fourth Proportional to 6,109.50, 9,148.74 and 5,119.71

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Solution

The fourth proportional to 6,109.50, 9,148.74 and 5,119.71 is: 7,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.50 : 9,148.74 = 5,119.71 : x
  2. Step 2: Convert to fraction form
    6,109.50/9,148.74 = 5,119.71/x
  3. Step 3: Cross multiply
    6,109.50x = 9,148.74 × 5,119.71
  4. Step 4: Simplify right side
    6,109.50x = 46,838,895.67
  5. Step 5: Solve for x
    x = 46,838,895.67/6,109.50
  6. Step 6: Final answer
    x = 7,666.57

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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.