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Finding the Fourth Proportional to 8,264.28, 11,404.54 and 4,538.28

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Solution

The fourth proportional to 8,264.28, 11,404.54 and 4,538.28 is: 6,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.28 : 11,404.54 = 4,538.28 : x
  2. Step 2: Convert to fraction form
    8,264.28/11,404.54 = 4,538.28/x
  3. Step 3: Cross multiply
    8,264.28x = 11,404.54 × 4,538.28
  4. Step 4: Simplify right side
    8,264.28x = 51,756,995.79
  5. Step 5: Solve for x
    x = 51,756,995.79/8,264.28
  6. Step 6: Final answer
    x = 6,262.74

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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.