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Finding the Fourth Proportional to 8,653.69, 11,942.14 and 5,070.76

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Solution

The fourth proportional to 8,653.69, 11,942.14 and 5,070.76 is: 6,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.69 : 11,942.14 = 5,070.76 : x
  2. Step 2: Convert to fraction form
    8,653.69/11,942.14 = 5,070.76/x
  3. Step 3: Cross multiply
    8,653.69x = 11,942.14 × 5,070.76
  4. Step 4: Simplify right side
    8,653.69x = 60,555,683.29
  5. Step 5: Solve for x
    x = 60,555,683.29/8,653.69
  6. Step 6: Final answer
    x = 6,997.67

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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.