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Finding the Fourth Proportional to 8,969.84, 12,378.17 and 4,990.87

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Solution

The fourth proportional to 8,969.84, 12,378.17 and 4,990.87 is: 6,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.84 : 12,378.17 = 4,990.87 : x
  2. Step 2: Convert to fraction form
    8,969.84/12,378.17 = 4,990.87/x
  3. Step 3: Cross multiply
    8,969.84x = 12,378.17 × 4,990.87
  4. Step 4: Simplify right side
    8,969.84x = 61,777,767.56
  5. Step 5: Solve for x
    x = 61,777,767.56/8,969.84
  6. Step 6: Final answer
    x = 6,887.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.