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Finding the Fourth Proportional to 25,822.56, 38,751.08 and 9,406.56

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Solution

The fourth proportional to 25,822.56, 38,751.08 and 9,406.56 is: 14,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.56 : 38,751.08 = 9,406.56 : x
  2. Step 2: Convert to fraction form
    25,822.56/38,751.08 = 9,406.56/x
  3. Step 3: Cross multiply
    25,822.56x = 38,751.08 × 9,406.56
  4. Step 4: Simplify right side
    25,822.56x = 364,514,359.08
  5. Step 5: Solve for x
    x = 364,514,359.08/25,822.56
  6. Step 6: Final answer
    x = 14,116.12

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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.