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Finding the Fourth Proportional to 22,006.64, 32,998.01 and 7,767.98

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Solution

The fourth proportional to 22,006.64, 32,998.01 and 7,767.98 is: 11,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.64 : 32,998.01 = 7,767.98 : x
  2. Step 2: Convert to fraction form
    22,006.64/32,998.01 = 7,767.98/x
  3. Step 3: Cross multiply
    22,006.64x = 32,998.01 × 7,767.98
  4. Step 4: Simplify right side
    22,006.64x = 256,327,925.37
  5. Step 5: Solve for x
    x = 256,327,925.37/22,006.64
  6. Step 6: Final answer
    x = 11,647.76

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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.