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Finding the Fourth Proportional to 7,760, 10,708.70 and 4,223.16

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Solution

The fourth proportional to 7,760, 10,708.70 and 4,223.16 is: 5,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760 : 10,708.70 = 4,223.16 : x
  2. Step 2: Convert to fraction form
    7,760/10,708.70 = 4,223.16/x
  3. Step 3: Cross multiply
    7,760x = 10,708.70 × 4,223.16
  4. Step 4: Simplify right side
    7,760x = 45,224,553.49
  5. Step 5: Solve for x
    x = 45,224,553.49/7,760
  6. Step 6: Final answer
    x = 5,827.91

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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.