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Finding the Fourth Proportional to 25,333.75, 38,000.76 and 6,865.75

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Solution

The fourth proportional to 25,333.75, 38,000.76 and 6,865.75 is: 10,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,333.75 : 38,000.76 = 6,865.75 : x
  2. Step 2: Convert to fraction form
    25,333.75/38,000.76 = 6,865.75/x
  3. Step 3: Cross multiply
    25,333.75x = 38,000.76 × 6,865.75
  4. Step 4: Simplify right side
    25,333.75x = 260,903,717.97
  5. Step 5: Solve for x
    x = 260,903,717.97/25,333.75
  6. Step 6: Final answer
    x = 10,298.66

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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.