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Finding the Fourth Proportional to 25,682.40, 38,523.60 and 7,214.40

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Solution

The fourth proportional to 25,682.40, 38,523.60 and 7,214.40 is: 10,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682.40 : 38,523.60 = 7,214.40 : x
  2. Step 2: Convert to fraction form
    25,682.40/38,523.60 = 7,214.40/x
  3. Step 3: Cross multiply
    25,682.40x = 38,523.60 × 7,214.40
  4. Step 4: Simplify right side
    25,682.40x = 277,924,659.84
  5. Step 5: Solve for x
    x = 277,924,659.84/25,682.40
  6. Step 6: Final answer
    x = 10,821.60

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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.