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Finding the Fourth Proportional to 6,410.62, 9,623.22 and 5,987.80

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Solution

The fourth proportional to 6,410.62, 9,623.22 and 5,987.80 is: 8,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.62 : 9,623.22 = 5,987.80 : x
  2. Step 2: Convert to fraction form
    6,410.62/9,623.22 = 5,987.80/x
  3. Step 3: Cross multiply
    6,410.62x = 9,623.22 × 5,987.80
  4. Step 4: Simplify right side
    6,410.62x = 57,621,916.72
  5. Step 5: Solve for x
    x = 57,621,916.72/6,410.62
  6. Step 6: Final answer
    x = 8,988.51

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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.