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Finding the Fourth Proportional to 17,874.34, 26,808.24 and 6,777.34

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Solution

The fourth proportional to 17,874.34, 26,808.24 and 6,777.34 is: 10,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.34 : 26,808.24 = 6,777.34 : x
  2. Step 2: Convert to fraction form
    17,874.34/26,808.24 = 6,777.34/x
  3. Step 3: Cross multiply
    17,874.34x = 26,808.24 × 6,777.34
  4. Step 4: Simplify right side
    17,874.34x = 181,688,557.28
  5. Step 5: Solve for x
    x = 181,688,557.28/17,874.34
  6. Step 6: Final answer
    x = 10,164.77

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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.