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Finding the Fourth Proportional to 11,507.64, 17,264.16 and 3,716.16

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Solution

The fourth proportional to 11,507.64, 17,264.16 and 3,716.16 is: 5,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.64 : 17,264.16 = 3,716.16 : x
  2. Step 2: Convert to fraction form
    11,507.64/17,264.16 = 3,716.16/x
  3. Step 3: Cross multiply
    11,507.64x = 17,264.16 × 3,716.16
  4. Step 4: Simplify right side
    11,507.64x = 64,156,380.83
  5. Step 5: Solve for x
    x = 64,156,380.83/11,507.64
  6. Step 6: Final answer
    x = 5,575.11

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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.