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Finding the Fourth Proportional to 7,084.64, 9,776.54 and 3,940.76

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Solution

The fourth proportional to 7,084.64, 9,776.54 and 3,940.76 is: 5,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.64 : 9,776.54 = 3,940.76 : x
  2. Step 2: Convert to fraction form
    7,084.64/9,776.54 = 3,940.76/x
  3. Step 3: Cross multiply
    7,084.64x = 9,776.54 × 3,940.76
  4. Step 4: Simplify right side
    7,084.64x = 38,526,929.18
  5. Step 5: Solve for x
    x = 38,526,929.18/7,084.64
  6. Step 6: Final answer
    x = 5,438.10

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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.