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Finding the Fourth Proportional to 5,354.16, 8,012.04 and 4,694.16

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Solution

The fourth proportional to 5,354.16, 8,012.04 and 4,694.16 is: 7,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.16 : 8,012.04 = 4,694.16 : x
  2. Step 2: Convert to fraction form
    5,354.16/8,012.04 = 4,694.16/x
  3. Step 3: Cross multiply
    5,354.16x = 8,012.04 × 4,694.16
  4. Step 4: Simplify right side
    5,354.16x = 37,609,797.69
  5. Step 5: Solve for x
    x = 37,609,797.69/5,354.16
  6. Step 6: Final answer
    x = 7,024.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.