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Finding the Fourth Proportional to 12,652.67, 17,461.31 and 7,618.46

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Solution

The fourth proportional to 12,652.67, 17,461.31 and 7,618.46 is: 10,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.67 : 17,461.31 = 7,618.46 : x
  2. Step 2: Convert to fraction form
    12,652.67/17,461.31 = 7,618.46/x
  3. Step 3: Cross multiply
    12,652.67x = 17,461.31 × 7,618.46
  4. Step 4: Simplify right side
    12,652.67x = 133,028,166.38
  5. Step 5: Solve for x
    x = 133,028,166.38/12,652.67
  6. Step 6: Final answer
    x = 10,513.84

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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.