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Finding the Fourth Proportional to 6,484.95, 9,724.95 and 2,101.23

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Solution

The fourth proportional to 6,484.95, 9,724.95 and 2,101.23 is: 3,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.95 : 9,724.95 = 2,101.23 : x
  2. Step 2: Convert to fraction form
    6,484.95/9,724.95 = 2,101.23/x
  3. Step 3: Cross multiply
    6,484.95x = 9,724.95 × 2,101.23
  4. Step 4: Simplify right side
    6,484.95x = 20,434,356.69
  5. Step 5: Solve for x
    x = 20,434,356.69/6,484.95
  6. Step 6: Final answer
    x = 3,151.04

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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.