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Finding the Fourth Proportional to 6,208.50, 9,312.71 and 2,510.69

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Solution

The fourth proportional to 6,208.50, 9,312.71 and 2,510.69 is: 3,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.50 : 9,312.71 = 2,510.69 : x
  2. Step 2: Convert to fraction form
    6,208.50/9,312.71 = 2,510.69/x
  3. Step 3: Cross multiply
    6,208.50x = 9,312.71 × 2,510.69
  4. Step 4: Simplify right side
    6,208.50x = 23,381,268.75
  5. Step 5: Solve for x
    x = 23,381,268.75/6,208.50
  6. Step 6: Final answer
    x = 3,766.01

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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.