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Finding the Fourth Proportional to 11,697.59, 17,546.47 and 4,678.20

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Solution

The fourth proportional to 11,697.59, 17,546.47 and 4,678.20 is: 7,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.59 : 17,546.47 = 4,678.20 : x
  2. Step 2: Convert to fraction form
    11,697.59/17,546.47 = 4,678.20/x
  3. Step 3: Cross multiply
    11,697.59x = 17,546.47 × 4,678.20
  4. Step 4: Simplify right side
    11,697.59x = 82,085,884.26
  5. Step 5: Solve for x
    x = 82,085,884.26/11,697.59
  6. Step 6: Final answer
    x = 7,017.33

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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.