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Finding the Fourth Proportional to 11,597.72, 17,397.90 and 4,205.64

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Solution

The fourth proportional to 11,597.72, 17,397.90 and 4,205.64 is: 6,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.72 : 17,397.90 = 4,205.64 : x
  2. Step 2: Convert to fraction form
    11,597.72/17,397.90 = 4,205.64/x
  3. Step 3: Cross multiply
    11,597.72x = 17,397.90 × 4,205.64
  4. Step 4: Simplify right side
    11,597.72x = 73,169,304.16
  5. Step 5: Solve for x
    x = 73,169,304.16/11,597.72
  6. Step 6: Final answer
    x = 6,308.94

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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.