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Finding the Fourth Proportional to 7,882.45, 10,874.07 and 4,693.93

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Solution

The fourth proportional to 7,882.45, 10,874.07 and 4,693.93 is: 6,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.45 : 10,874.07 = 4,693.93 : x
  2. Step 2: Convert to fraction form
    7,882.45/10,874.07 = 4,693.93/x
  3. Step 3: Cross multiply
    7,882.45x = 10,874.07 × 4,693.93
  4. Step 4: Simplify right side
    7,882.45x = 51,042,123.40
  5. Step 5: Solve for x
    x = 51,042,123.40/7,882.45
  6. Step 6: Final answer
    x = 6,475.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.