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Finding the Fourth Proportional to 8,159.78, 11,265.90 and 6,267.98

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Solution

The fourth proportional to 8,159.78, 11,265.90 and 6,267.98 is: 8,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.78 : 11,265.90 = 6,267.98 : x
  2. Step 2: Convert to fraction form
    8,159.78/11,265.90 = 6,267.98/x
  3. Step 3: Cross multiply
    8,159.78x = 11,265.90 × 6,267.98
  4. Step 4: Simplify right side
    8,159.78x = 70,614,379.55
  5. Step 5: Solve for x
    x = 70,614,379.55/8,159.78
  6. Step 6: Final answer
    x = 8,653.96

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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.