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Finding the Fourth Proportional to 14,198.75, 19,595.41 and 7,826.48

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Solution

The fourth proportional to 14,198.75, 19,595.41 and 7,826.48 is: 10,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.75 : 19,595.41 = 7,826.48 : x
  2. Step 2: Convert to fraction form
    14,198.75/19,595.41 = 7,826.48/x
  3. Step 3: Cross multiply
    14,198.75x = 19,595.41 × 7,826.48
  4. Step 4: Simplify right side
    14,198.75x = 153,363,064.64
  5. Step 5: Solve for x
    x = 153,363,064.64/14,198.75
  6. Step 6: Final answer
    x = 10,801.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.