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Finding the Fourth Proportional to 10,882.82, 16,328.84 and 5,946.71

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Solution

The fourth proportional to 10,882.82, 16,328.84 and 5,946.71 is: 8,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.82 : 16,328.84 = 5,946.71 : x
  2. Step 2: Convert to fraction form
    10,882.82/16,328.84 = 5,946.71/x
  3. Step 3: Cross multiply
    10,882.82x = 16,328.84 × 5,946.71
  4. Step 4: Simplify right side
    10,882.82x = 97,102,764.74
  5. Step 5: Solve for x
    x = 97,102,764.74/10,882.82
  6. Step 6: Final answer
    x = 8,922.57

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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.