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Finding the Fourth Proportional to 6,483.66, 9,718.20 and 3,189.84

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Solution

The fourth proportional to 6,483.66, 9,718.20 and 3,189.84 is: 4,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.66 : 9,718.20 = 3,189.84 : x
  2. Step 2: Convert to fraction form
    6,483.66/9,718.20 = 3,189.84/x
  3. Step 3: Cross multiply
    6,483.66x = 9,718.20 × 3,189.84
  4. Step 4: Simplify right side
    6,483.66x = 30,999,503.09
  5. Step 5: Solve for x
    x = 30,999,503.09/6,483.66
  6. Step 6: Final answer
    x = 4,781.17

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1.5x scale

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.