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Finding the Fourth Proportional to 7,076.75, 10,615.10 and 1,882.62

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Solution

The fourth proportional to 7,076.75, 10,615.10 and 1,882.62 is: 2,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.75 : 10,615.10 = 1,882.62 : x
  2. Step 2: Convert to fraction form
    7,076.75/10,615.10 = 1,882.62/x
  3. Step 3: Cross multiply
    7,076.75x = 10,615.10 × 1,882.62
  4. Step 4: Simplify right side
    7,076.75x = 19,984,204.27
  5. Step 5: Solve for x
    x = 19,984,204.27/7,076.75
  6. Step 6: Final answer
    x = 2,823.93

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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.