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Finding the Fourth Proportional to 6,266.28, 9,443.44 and 5,642.34

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Solution

The fourth proportional to 6,266.28, 9,443.44 and 5,642.34 is: 8,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.28 : 9,443.44 = 5,642.34 : x
  2. Step 2: Convert to fraction form
    6,266.28/9,443.44 = 5,642.34/x
  3. Step 3: Cross multiply
    6,266.28x = 9,443.44 × 5,642.34
  4. Step 4: Simplify right side
    6,266.28x = 53,283,099.25
  5. Step 5: Solve for x
    x = 53,283,099.25/6,266.28
  6. Step 6: Final answer
    x = 8,503.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.