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Finding the Fourth Proportional to 11,407.68, 17,114.88 and 3,616.32

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Solution

The fourth proportional to 11,407.68, 17,114.88 and 3,616.32 is: 5,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.68 : 17,114.88 = 3,616.32 : x
  2. Step 2: Convert to fraction form
    11,407.68/17,114.88 = 3,616.32/x
  3. Step 3: Cross multiply
    11,407.68x = 17,114.88 × 3,616.32
  4. Step 4: Simplify right side
    11,407.68x = 61,892,882.84
  5. Step 5: Solve for x
    x = 61,892,882.84/11,407.68
  6. Step 6: Final answer
    x = 5,425.55

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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.