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Finding the Fourth Proportional to 6,159.76, 9,237.25 and 1,998.76

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Solution

The fourth proportional to 6,159.76, 9,237.25 and 1,998.76 is: 2,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.76 : 9,237.25 = 1,998.76 : x
  2. Step 2: Convert to fraction form
    6,159.76/9,237.25 = 1,998.76/x
  3. Step 3: Cross multiply
    6,159.76x = 9,237.25 × 1,998.76
  4. Step 4: Simplify right side
    6,159.76x = 18,463,045.81
  5. Step 5: Solve for x
    x = 18,463,045.81/6,159.76
  6. Step 6: Final answer
    x = 2,997.36

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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.