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Finding the Fourth Proportional to 7,396.46, 10,207.06 and 4,084.46

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Solution

The fourth proportional to 7,396.46, 10,207.06 and 4,084.46 is: 5,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.46 : 10,207.06 = 4,084.46 : x
  2. Step 2: Convert to fraction form
    7,396.46/10,207.06 = 4,084.46/x
  3. Step 3: Cross multiply
    7,396.46x = 10,207.06 × 4,084.46
  4. Step 4: Simplify right side
    7,396.46x = 41,690,328.29
  5. Step 5: Solve for x
    x = 41,690,328.29/7,396.46
  6. Step 6: Final answer
    x = 5,636.52

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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.