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Finding the Fourth Proportional to 13,012.62, 17,952.93 and 7,346.66

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Solution

The fourth proportional to 13,012.62, 17,952.93 and 7,346.66 is: 10,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.62 : 17,952.93 = 7,346.66 : x
  2. Step 2: Convert to fraction form
    13,012.62/17,952.93 = 7,346.66/x
  3. Step 3: Cross multiply
    13,012.62x = 17,952.93 × 7,346.66
  4. Step 4: Simplify right side
    13,012.62x = 131,894,072.71
  5. Step 5: Solve for x
    x = 131,894,072.71/13,012.62
  6. Step 6: Final answer
    x = 10,135.86

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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.