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Finding the Fourth Proportional to 10,711, 14,781.60 and 5,995.24

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Solution

The fourth proportional to 10,711, 14,781.60 and 5,995.24 is: 8,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711 : 14,781.60 = 5,995.24 : x
  2. Step 2: Convert to fraction form
    10,711/14,781.60 = 5,995.24/x
  3. Step 3: Cross multiply
    10,711x = 14,781.60 × 5,995.24
  4. Step 4: Simplify right side
    10,711x = 88,619,239.58
  5. Step 5: Solve for x
    x = 88,619,239.58/10,711
  6. Step 6: Final answer
    x = 8,273.67

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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.