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Finding the Fourth Proportional to 10,495.55, 14,472.97 and 8,105.91

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Solution

The fourth proportional to 10,495.55, 14,472.97 and 8,105.91 is: 11,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.55 : 14,472.97 = 8,105.91 : x
  2. Step 2: Convert to fraction form
    10,495.55/14,472.97 = 8,105.91/x
  3. Step 3: Cross multiply
    10,495.55x = 14,472.97 × 8,105.91
  4. Step 4: Simplify right side
    10,495.55x = 117,316,479.36
  5. Step 5: Solve for x
    x = 117,316,479.36/10,495.55
  6. Step 6: Final answer
    x = 11,177.74

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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.