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Finding the Fourth Proportional to 17,865.25, 26,810.16 and 6,178.48

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Solution

The fourth proportional to 17,865.25, 26,810.16 and 6,178.48 is: 9,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.25 : 26,810.16 = 6,178.48 : x
  2. Step 2: Convert to fraction form
    17,865.25/26,810.16 = 6,178.48/x
  3. Step 3: Cross multiply
    17,865.25x = 26,810.16 × 6,178.48
  4. Step 4: Simplify right side
    17,865.25x = 165,646,037.36
  5. Step 5: Solve for x
    x = 165,646,037.36/17,865.25
  6. Step 6: Final answer
    x = 9,271.97

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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.