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Finding the Fourth Proportional to 10,409.69, 14,366.63 and 5,934.38

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Solution

The fourth proportional to 10,409.69, 14,366.63 and 5,934.38 is: 8,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.69 : 14,366.63 = 5,934.38 : x
  2. Step 2: Convert to fraction form
    10,409.69/14,366.63 = 5,934.38/x
  3. Step 3: Cross multiply
    10,409.69x = 14,366.63 × 5,934.38
  4. Step 4: Simplify right side
    10,409.69x = 85,256,984.74
  5. Step 5: Solve for x
    x = 85,256,984.74/10,409.69
  6. Step 6: Final answer
    x = 8,190.15

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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.