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Finding the Fourth Proportional to 20,992.10, 31,465.94 and 6,948.50

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Solution

The fourth proportional to 20,992.10, 31,465.94 and 6,948.50 is: 10,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.10 : 31,465.94 = 6,948.50 : x
  2. Step 2: Convert to fraction form
    20,992.10/31,465.94 = 6,948.50/x
  3. Step 3: Cross multiply
    20,992.10x = 31,465.94 × 6,948.50
  4. Step 4: Simplify right side
    20,992.10x = 218,641,084.09
  5. Step 5: Solve for x
    x = 218,641,084.09/20,992.10
  6. Step 6: Final answer
    x = 10,415.40

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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.