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Finding the Fourth Proportional to 11,617.41, 17,424.29 and 9,655.64

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Solution

The fourth proportional to 11,617.41, 17,424.29 and 9,655.64 is: 14,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.41 : 17,424.29 = 9,655.64 : x
  2. Step 2: Convert to fraction form
    11,617.41/17,424.29 = 9,655.64/x
  3. Step 3: Cross multiply
    11,617.41x = 17,424.29 × 9,655.64
  4. Step 4: Simplify right side
    11,617.41x = 168,242,536.10
  5. Step 5: Solve for x
    x = 168,242,536.10/11,617.41
  6. Step 6: Final answer
    x = 14,481.93

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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.