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Finding the Fourth Proportional to 7,719, 10,652.16 and 4,182.12

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Solution

The fourth proportional to 7,719, 10,652.16 and 4,182.12 is: 5,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719 : 10,652.16 = 4,182.12 : x
  2. Step 2: Convert to fraction form
    7,719/10,652.16 = 4,182.12/x
  3. Step 3: Cross multiply
    7,719x = 10,652.16 × 4,182.12
  4. Step 4: Simplify right side
    7,719x = 44,548,611.38
  5. Step 5: Solve for x
    x = 44,548,611.38/7,719
  6. Step 6: Final answer
    x = 5,771.29

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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.