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Finding the Fourth Proportional to 12,766.70, 17,617.02 and 7,460.93

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Solution

The fourth proportional to 12,766.70, 17,617.02 and 7,460.93 is: 10,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.70 : 17,617.02 = 7,460.93 : x
  2. Step 2: Convert to fraction form
    12,766.70/17,617.02 = 7,460.93/x
  3. Step 3: Cross multiply
    12,766.70x = 17,617.02 × 7,460.93
  4. Step 4: Simplify right side
    12,766.70x = 131,439,353.03
  5. Step 5: Solve for x
    x = 131,439,353.03/12,766.70
  6. Step 6: Final answer
    x = 10,295.48

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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.