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Finding the Fourth Proportional to 7,658.64, 10,568.41 and 4,301.78

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Solution

The fourth proportional to 7,658.64, 10,568.41 and 4,301.78 is: 5,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.64 : 10,568.41 = 4,301.78 : x
  2. Step 2: Convert to fraction form
    7,658.64/10,568.41 = 4,301.78/x
  3. Step 3: Cross multiply
    7,658.64x = 10,568.41 × 4,301.78
  4. Step 4: Simplify right side
    7,658.64x = 45,462,911.17
  5. Step 5: Solve for x
    x = 45,462,911.17/7,658.64
  6. Step 6: Final answer
    x = 5,936.16

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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.