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Finding the Fourth Proportional to 17,675.52, 26,507.65 and 5,827.09

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Solution

The fourth proportional to 17,675.52, 26,507.65 and 5,827.09 is: 8,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.52 : 26,507.65 = 5,827.09 : x
  2. Step 2: Convert to fraction form
    17,675.52/26,507.65 = 5,827.09/x
  3. Step 3: Cross multiply
    17,675.52x = 26,507.65 × 5,827.09
  4. Step 4: Simplify right side
    17,675.52x = 154,462,381.40
  5. Step 5: Solve for x
    x = 154,462,381.40/17,675.52
  6. Step 6: Final answer
    x = 8,738.77

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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.