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Finding the Fourth Proportional to 7,093.84, 10,640.76 and 2,478.16

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Solution

The fourth proportional to 7,093.84, 10,640.76 and 2,478.16 is: 3,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.84 : 10,640.76 = 2,478.16 : x
  2. Step 2: Convert to fraction form
    7,093.84/10,640.76 = 2,478.16/x
  3. Step 3: Cross multiply
    7,093.84x = 10,640.76 × 2,478.16
  4. Step 4: Simplify right side
    7,093.84x = 26,369,505.80
  5. Step 5: Solve for x
    x = 26,369,505.80/7,093.84
  6. Step 6: Final answer
    x = 3,717.24

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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.