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Finding the Fourth Proportional to 6,297.64, 8,688.54 and 3,938.92

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Solution

The fourth proportional to 6,297.64, 8,688.54 and 3,938.92 is: 5,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.64 : 8,688.54 = 3,938.92 : x
  2. Step 2: Convert to fraction form
    6,297.64/8,688.54 = 3,938.92/x
  3. Step 3: Cross multiply
    6,297.64x = 8,688.54 × 3,938.92
  4. Step 4: Simplify right side
    6,297.64x = 34,223,463.98
  5. Step 5: Solve for x
    x = 34,223,463.98/6,297.64
  6. Step 6: Final answer
    x = 5,434.33

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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.