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Finding the Fourth Proportional to 6,598.05, 9,894.96 and 3,476.31

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Solution

The fourth proportional to 6,598.05, 9,894.96 and 3,476.31 is: 5,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.05 : 9,894.96 = 3,476.31 : x
  2. Step 2: Convert to fraction form
    6,598.05/9,894.96 = 3,476.31/x
  3. Step 3: Cross multiply
    6,598.05x = 9,894.96 × 3,476.31
  4. Step 4: Simplify right side
    6,598.05x = 34,397,948.40
  5. Step 5: Solve for x
    x = 34,397,948.40/6,598.05
  6. Step 6: Final answer
    x = 5,213.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.