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Finding the Fourth Proportional to 8,597.08, 11,859.74 and 5,414.20

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Solution

The fourth proportional to 8,597.08, 11,859.74 and 5,414.20 is: 7,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.08 : 11,859.74 = 5,414.20 : x
  2. Step 2: Convert to fraction form
    8,597.08/11,859.74 = 5,414.20/x
  3. Step 3: Cross multiply
    8,597.08x = 11,859.74 × 5,414.20
  4. Step 4: Simplify right side
    8,597.08x = 64,211,004.31
  5. Step 5: Solve for x
    x = 64,211,004.31/8,597.08
  6. Step 6: Final answer
    x = 7,468.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.