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Finding the Fourth Proportional to 12,563.62, 17,337.94 and 7,850.64

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Solution

The fourth proportional to 12,563.62, 17,337.94 and 7,850.64 is: 10,833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.62 : 17,337.94 = 7,850.64 : x
  2. Step 2: Convert to fraction form
    12,563.62/17,337.94 = 7,850.64/x
  3. Step 3: Cross multiply
    12,563.62x = 17,337.94 × 7,850.64
  4. Step 4: Simplify right side
    12,563.62x = 136,113,925.28
  5. Step 5: Solve for x
    x = 136,113,925.28/12,563.62
  6. Step 6: Final answer
    x = 10,833.97

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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.