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Finding the Fourth Proportional to 7,150.68, 10,718.73 and 6,520.10

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Solution

The fourth proportional to 7,150.68, 10,718.73 and 6,520.10 is: 9,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.68 : 10,718.73 = 6,520.10 : x
  2. Step 2: Convert to fraction form
    7,150.68/10,718.73 = 6,520.10/x
  3. Step 3: Cross multiply
    7,150.68x = 10,718.73 × 6,520.10
  4. Step 4: Simplify right side
    7,150.68x = 69,887,137.88
  5. Step 5: Solve for x
    x = 69,887,137.88/7,150.68
  6. Step 6: Final answer
    x = 9,773.50

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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.