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Finding the Fourth Proportional to 11,762.34, 17,617.59 and 7,135.62

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Solution

The fourth proportional to 11,762.34, 17,617.59 and 7,135.62 is: 10,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.34 : 17,617.59 = 7,135.62 : x
  2. Step 2: Convert to fraction form
    11,762.34/17,617.59 = 7,135.62/x
  3. Step 3: Cross multiply
    11,762.34x = 17,617.59 × 7,135.62
  4. Step 4: Simplify right side
    11,762.34x = 125,712,427.56
  5. Step 5: Solve for x
    x = 125,712,427.56/11,762.34
  6. Step 6: Final answer
    x = 10,687.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.