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Finding the Fourth Proportional to 6,483.08, 9,726.16 and 2,100.53

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Solution

The fourth proportional to 6,483.08, 9,726.16 and 2,100.53 is: 3,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.08 : 9,726.16 = 2,100.53 : x
  2. Step 2: Convert to fraction form
    6,483.08/9,726.16 = 2,100.53/x
  3. Step 3: Cross multiply
    6,483.08x = 9,726.16 × 2,100.53
  4. Step 4: Simplify right side
    6,483.08x = 20,430,036.98
  5. Step 5: Solve for x
    x = 20,430,036.98/6,483.08
  6. Step 6: Final answer
    x = 3,151.29

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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.