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Finding the Fourth Proportional to 8,631.84, 11,898.24 and 6,504.24

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Solution

The fourth proportional to 8,631.84, 11,898.24 and 6,504.24 is: 8,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,631.84 : 11,898.24 = 6,504.24 : x
  2. Step 2: Convert to fraction form
    8,631.84/11,898.24 = 6,504.24/x
  3. Step 3: Cross multiply
    8,631.84x = 11,898.24 × 6,504.24
  4. Step 4: Simplify right side
    8,631.84x = 77,389,008.54
  5. Step 5: Solve for x
    x = 77,389,008.54/8,631.84
  6. Step 6: Final answer
    x = 8,965.53

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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.