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Finding the Fourth Proportional to 7,076.70, 9,767.20 and 4,686.70

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Solution

The fourth proportional to 7,076.70, 9,767.20 and 4,686.70 is: 6,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.70 : 9,767.20 = 4,686.70 : x
  2. Step 2: Convert to fraction form
    7,076.70/9,767.20 = 4,686.70/x
  3. Step 3: Cross multiply
    7,076.70x = 9,767.20 × 4,686.70
  4. Step 4: Simplify right side
    7,076.70x = 45,775,936.24
  5. Step 5: Solve for x
    x = 45,775,936.24/7,076.70
  6. Step 6: Final answer
    x = 6,468.54

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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.