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Finding the Fourth Proportional to 6,921.96, 9,552 and 3,938.04

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Solution

The fourth proportional to 6,921.96, 9,552 and 3,938.04 is: 5,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.96 : 9,552 = 3,938.04 : x
  2. Step 2: Convert to fraction form
    6,921.96/9,552 = 3,938.04/x
  3. Step 3: Cross multiply
    6,921.96x = 9,552 × 3,938.04
  4. Step 4: Simplify right side
    6,921.96x = 37,616,158.08
  5. Step 5: Solve for x
    x = 37,616,158.08/6,921.96
  6. Step 6: Final answer
    x = 5,434.32

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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.