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Finding the Fourth Proportional to 25,833.84, 38,743.01 and 9,191.68

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Solution

The fourth proportional to 25,833.84, 38,743.01 and 9,191.68 is: 13,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833.84 : 38,743.01 = 9,191.68 : x
  2. Step 2: Convert to fraction form
    25,833.84/38,743.01 = 9,191.68/x
  3. Step 3: Cross multiply
    25,833.84x = 38,743.01 × 9,191.68
  4. Step 4: Simplify right side
    25,833.84x = 356,113,241.81
  5. Step 5: Solve for x
    x = 356,113,241.81/25,833.84
  6. Step 6: Final answer
    x = 13,784.76

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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.