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Finding the Fourth Proportional to 6,159.62, 9,239.16 and 1,777.26

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Solution

The fourth proportional to 6,159.62, 9,239.16 and 1,777.26 is: 2,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.62 : 9,239.16 = 1,777.26 : x
  2. Step 2: Convert to fraction form
    6,159.62/9,239.16 = 1,777.26/x
  3. Step 3: Cross multiply
    6,159.62x = 9,239.16 × 1,777.26
  4. Step 4: Simplify right side
    6,159.62x = 16,420,389.50
  5. Step 5: Solve for x
    x = 16,420,389.50/6,159.62
  6. Step 6: Final answer
    x = 2,665.81

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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.