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Finding the Fourth Proportional to 6,510.05, 9,763.05 and 2,349.51

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Solution

The fourth proportional to 6,510.05, 9,763.05 and 2,349.51 is: 3,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.05 : 9,763.05 = 2,349.51 : x
  2. Step 2: Convert to fraction form
    6,510.05/9,763.05 = 2,349.51/x
  3. Step 3: Cross multiply
    6,510.05x = 9,763.05 × 2,349.51
  4. Step 4: Simplify right side
    6,510.05x = 22,938,371.86
  5. Step 5: Solve for x
    x = 22,938,371.86/6,510.05
  6. Step 6: Final answer
    x = 3,523.54

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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.