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Finding the Fourth Proportional to 8,281.49, 11,428.12 and 4,744.01

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Solution

The fourth proportional to 8,281.49, 11,428.12 and 4,744.01 is: 6,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.49 : 11,428.12 = 4,744.01 : x
  2. Step 2: Convert to fraction form
    8,281.49/11,428.12 = 4,744.01/x
  3. Step 3: Cross multiply
    8,281.49x = 11,428.12 × 4,744.01
  4. Step 4: Simplify right side
    8,281.49x = 54,215,150.06
  5. Step 5: Solve for x
    x = 54,215,150.06/8,281.49
  6. Step 6: Final answer
    x = 6,546.55

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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.