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Finding the Fourth Proportional to 8,134.90, 11,225.73 and 4,597.90

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Solution

The fourth proportional to 8,134.90, 11,225.73 and 4,597.90 is: 6,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.90 : 11,225.73 = 4,597.90 : x
  2. Step 2: Convert to fraction form
    8,134.90/11,225.73 = 4,597.90/x
  3. Step 3: Cross multiply
    8,134.90x = 11,225.73 × 4,597.90
  4. Step 4: Simplify right side
    8,134.90x = 51,614,783.97
  5. Step 5: Solve for x
    x = 51,614,783.97/8,134.90
  6. Step 6: Final answer
    x = 6,344.86

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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.