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Finding the Fourth Proportional to 4,969.44, 6,892.90 and 4,792.14

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Solution

The fourth proportional to 4,969.44, 6,892.90 and 4,792.14 is: 6,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.44 : 6,892.90 = 4,792.14 : x
  2. Step 2: Convert to fraction form
    4,969.44/6,892.90 = 4,792.14/x
  3. Step 3: Cross multiply
    4,969.44x = 6,892.90 × 4,792.14
  4. Step 4: Simplify right side
    4,969.44x = 33,031,741.81
  5. Step 5: Solve for x
    x = 33,031,741.81/4,969.44
  6. Step 6: Final answer
    x = 6,646.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.