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Finding the Fourth Proportional to 25,803.82, 38,705.73 and 8,275.02

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Solution

The fourth proportional to 25,803.82, 38,705.73 and 8,275.02 is: 12,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.82 : 38,705.73 = 8,275.02 : x
  2. Step 2: Convert to fraction form
    25,803.82/38,705.73 = 8,275.02/x
  3. Step 3: Cross multiply
    25,803.82x = 38,705.73 × 8,275.02
  4. Step 4: Simplify right side
    25,803.82x = 320,290,689.86
  5. Step 5: Solve for x
    x = 320,290,689.86/25,803.82
  6. Step 6: Final answer
    x = 12,412.53

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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.