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Finding the Fourth Proportional to 5,156.14, 7,679.90 and 5,048.14

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Solution

The fourth proportional to 5,156.14, 7,679.90 and 5,048.14 is: 7,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.14 : 7,679.90 = 5,048.14 : x
  2. Step 2: Convert to fraction form
    5,156.14/7,679.90 = 5,048.14/x
  3. Step 3: Cross multiply
    5,156.14x = 7,679.90 × 5,048.14
  4. Step 4: Simplify right side
    5,156.14x = 38,769,210.39
  5. Step 5: Solve for x
    x = 38,769,210.39/5,156.14
  6. Step 6: Final answer
    x = 7,519.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.