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Finding the Fourth Proportional to 10,578.66, 14,581.71 and 8,336.94

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Solution

The fourth proportional to 10,578.66, 14,581.71 and 8,336.94 is: 11,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.66 : 14,581.71 = 8,336.94 : x
  2. Step 2: Convert to fraction form
    10,578.66/14,581.71 = 8,336.94/x
  3. Step 3: Cross multiply
    10,578.66x = 14,581.71 × 8,336.94
  4. Step 4: Simplify right side
    10,578.66x = 121,566,841.37
  5. Step 5: Solve for x
    x = 121,566,841.37/10,578.66
  6. Step 6: Final answer
    x = 11,491.71

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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.