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Finding the Fourth Proportional to 5,974.68, 8,962.74 and 1,592.22

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Solution

The fourth proportional to 5,974.68, 8,962.74 and 1,592.22 is: 2,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.68 : 8,962.74 = 1,592.22 : x
  2. Step 2: Convert to fraction form
    5,974.68/8,962.74 = 1,592.22/x
  3. Step 3: Cross multiply
    5,974.68x = 8,962.74 × 1,592.22
  4. Step 4: Simplify right side
    5,974.68x = 14,270,653.88
  5. Step 5: Solve for x
    x = 14,270,653.88/5,974.68
  6. Step 6: Final answer
    x = 2,388.52

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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.