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Finding the Fourth Proportional to 10,411.94, 14,368.86 and 5,934.97

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Solution

The fourth proportional to 10,411.94, 14,368.86 and 5,934.97 is: 8,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.94 : 14,368.86 = 5,934.97 : x
  2. Step 2: Convert to fraction form
    10,411.94/14,368.86 = 5,934.97/x
  3. Step 3: Cross multiply
    10,411.94x = 14,368.86 × 5,934.97
  4. Step 4: Simplify right side
    10,411.94x = 85,278,771.00
  5. Step 5: Solve for x
    x = 85,278,771.00/10,411.94
  6. Step 6: Final answer
    x = 8,190.48

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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.