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Finding the Fourth Proportional to 10,666.74, 14,720.11 and 5,951.02

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Solution

The fourth proportional to 10,666.74, 14,720.11 and 5,951.02 is: 8,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.74 : 14,720.11 = 5,951.02 : x
  2. Step 2: Convert to fraction form
    10,666.74/14,720.11 = 5,951.02/x
  3. Step 3: Cross multiply
    10,666.74x = 14,720.11 × 5,951.02
  4. Step 4: Simplify right side
    10,666.74x = 87,599,669.01
  5. Step 5: Solve for x
    x = 87,599,669.01/10,666.74
  6. Step 6: Final answer
    x = 8,212.41

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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.