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Finding the Fourth Proportional to 6,414.68, 9,588.09 and 5,575.16

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Solution

The fourth proportional to 6,414.68, 9,588.09 and 5,575.16 is: 8,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.68 : 9,588.09 = 5,575.16 : x
  2. Step 2: Convert to fraction form
    6,414.68/9,588.09 = 5,575.16/x
  3. Step 3: Cross multiply
    6,414.68x = 9,588.09 × 5,575.16
  4. Step 4: Simplify right side
    6,414.68x = 53,455,135.84
  5. Step 5: Solve for x
    x = 53,455,135.84/6,414.68
  6. Step 6: Final answer
    x = 8,333.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.