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Finding the Fourth Proportional to 20,960.40, 31,442.76 and 6,916.32

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Solution

The fourth proportional to 20,960.40, 31,442.76 and 6,916.32 is: 10,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960.40 : 31,442.76 = 6,916.32 : x
  2. Step 2: Convert to fraction form
    20,960.40/31,442.76 = 6,916.32/x
  3. Step 3: Cross multiply
    20,960.40x = 31,442.76 × 6,916.32
  4. Step 4: Simplify right side
    20,960.40x = 217,468,189.84
  5. Step 5: Solve for x
    x = 217,468,189.84/20,960.40
  6. Step 6: Final answer
    x = 10,375.19

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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.