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Finding the Fourth Proportional to 11,656.65, 17,464.24 and 6,716.08

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Solution

The fourth proportional to 11,656.65, 17,464.24 and 6,716.08 is: 10,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.65 : 17,464.24 = 6,716.08 : x
  2. Step 2: Convert to fraction form
    11,656.65/17,464.24 = 6,716.08/x
  3. Step 3: Cross multiply
    11,656.65x = 17,464.24 × 6,716.08
  4. Step 4: Simplify right side
    11,656.65x = 117,291,232.98
  5. Step 5: Solve for x
    x = 117,291,232.98/11,656.65
  6. Step 6: Final answer
    x = 10,062.17

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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.