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Finding the Fourth Proportional to 4,969.14, 6,849.17 and 4,837.67

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Solution

The fourth proportional to 4,969.14, 6,849.17 and 4,837.67 is: 6,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.14 : 6,849.17 = 4,837.67 : x
  2. Step 2: Convert to fraction form
    4,969.14/6,849.17 = 4,837.67/x
  3. Step 3: Cross multiply
    4,969.14x = 6,849.17 × 4,837.67
  4. Step 4: Simplify right side
    4,969.14x = 33,134,024.23
  5. Step 5: Solve for x
    x = 33,134,024.23/4,969.14
  6. Step 6: Final answer
    x = 6,667.96

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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.