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Finding the Fourth Proportional to 10,045.92, 13,863.88 and 6,066.96

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Solution

The fourth proportional to 10,045.92, 13,863.88 and 6,066.96 is: 8,372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.92 : 13,863.88 = 6,066.96 : x
  2. Step 2: Convert to fraction form
    10,045.92/13,863.88 = 6,066.96/x
  3. Step 3: Cross multiply
    10,045.92x = 13,863.88 × 6,066.96
  4. Step 4: Simplify right side
    10,045.92x = 84,111,605.40
  5. Step 5: Solve for x
    x = 84,111,605.40/10,045.92
  6. Step 6: Final answer
    x = 8,372.71

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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.