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Finding the Fourth Proportional to 25,773.84, 38,659.32 and 9,133.20

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Solution

The fourth proportional to 25,773.84, 38,659.32 and 9,133.20 is: 13,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.84 : 38,659.32 = 9,133.20 : x
  2. Step 2: Convert to fraction form
    25,773.84/38,659.32 = 9,133.20/x
  3. Step 3: Cross multiply
    25,773.84x = 38,659.32 × 9,133.20
  4. Step 4: Simplify right side
    25,773.84x = 353,083,301.42
  5. Step 5: Solve for x
    x = 353,083,301.42/25,773.84
  6. Step 6: Final answer
    x = 13,699.29

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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.