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Finding the Fourth Proportional to 7,927, 10,939.26 and 4,615

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Solution

The fourth proportional to 7,927, 10,939.26 and 4,615 is: 6,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927 : 10,939.26 = 4,615 : x
  2. Step 2: Convert to fraction form
    7,927/10,939.26 = 4,615/x
  3. Step 3: Cross multiply
    7,927x = 10,939.26 × 4,615
  4. Step 4: Simplify right side
    7,927x = 50,484,684.90
  5. Step 5: Solve for x
    x = 50,484,684.90/7,927
  6. Step 6: Final answer
    x = 6,368.70

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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.