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Finding the Fourth Proportional to 7,059.63, 9,742.17 and 3,873

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Solution

The fourth proportional to 7,059.63, 9,742.17 and 3,873 is: 5,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.63 : 9,742.17 = 3,873 : x
  2. Step 2: Convert to fraction form
    7,059.63/9,742.17 = 3,873/x
  3. Step 3: Cross multiply
    7,059.63x = 9,742.17 × 3,873
  4. Step 4: Simplify right side
    7,059.63x = 37,731,424.41
  5. Step 5: Solve for x
    x = 37,731,424.41/7,059.63
  6. Step 6: Final answer
    x = 5,344.67

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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.