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Finding the Fourth Proportional to 11,597.58, 17,385.90 and 4,200.30

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Solution

The fourth proportional to 11,597.58, 17,385.90 and 4,200.30 is: 6,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.58 : 17,385.90 = 4,200.30 : x
  2. Step 2: Convert to fraction form
    11,597.58/17,385.90 = 4,200.30/x
  3. Step 3: Cross multiply
    11,597.58x = 17,385.90 × 4,200.30
  4. Step 4: Simplify right side
    11,597.58x = 73,025,995.77
  5. Step 5: Solve for x
    x = 73,025,995.77/11,597.58
  6. Step 6: Final answer
    x = 6,296.66

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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.