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Finding the Fourth Proportional to 9,566.87, 14,333.34 and 8,166.16

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Solution

The fourth proportional to 9,566.87, 14,333.34 and 8,166.16 is: 12,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.87 : 14,333.34 = 8,166.16 : x
  2. Step 2: Convert to fraction form
    9,566.87/14,333.34 = 8,166.16/x
  3. Step 3: Cross multiply
    9,566.87x = 14,333.34 × 8,166.16
  4. Step 4: Simplify right side
    9,566.87x = 117,048,276.11
  5. Step 5: Solve for x
    x = 117,048,276.11/9,566.87
  6. Step 6: Final answer
    x = 12,234.75

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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.