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Finding the Fourth Proportional to 9,666.87, 14,518.74 and 5,976.30

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Solution

The fourth proportional to 9,666.87, 14,518.74 and 5,976.30 is: 8,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.87 : 14,518.74 = 5,976.30 : x
  2. Step 2: Convert to fraction form
    9,666.87/14,518.74 = 5,976.30/x
  3. Step 3: Cross multiply
    9,666.87x = 14,518.74 × 5,976.30
  4. Step 4: Simplify right side
    9,666.87x = 86,768,422.72
  5. Step 5: Solve for x
    x = 86,768,422.72/9,666.87
  6. Step 6: Final answer
    x = 8,975.86

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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.