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Finding the Fourth Proportional to 12,652.05, 17,461.17 and 7,617.90

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Solution

The fourth proportional to 12,652.05, 17,461.17 and 7,617.90 is: 10,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.05 : 17,461.17 = 7,617.90 : x
  2. Step 2: Convert to fraction form
    12,652.05/17,461.17 = 7,617.90/x
  3. Step 3: Cross multiply
    12,652.05x = 17,461.17 × 7,617.90
  4. Step 4: Simplify right side
    12,652.05x = 133,017,446.94
  5. Step 5: Solve for x
    x = 133,017,446.94/12,652.05
  6. Step 6: Final answer
    x = 10,513.51

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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.