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Finding the Fourth Proportional to 9,166.50, 12,657.51 and 5,815.26

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Solution

The fourth proportional to 9,166.50, 12,657.51 and 5,815.26 is: 8,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.50 : 12,657.51 = 5,815.26 : x
  2. Step 2: Convert to fraction form
    9,166.50/12,657.51 = 5,815.26/x
  3. Step 3: Cross multiply
    9,166.50x = 12,657.51 × 5,815.26
  4. Step 4: Simplify right side
    9,166.50x = 73,606,711.60
  5. Step 5: Solve for x
    x = 73,606,711.60/9,166.50
  6. Step 6: Final answer
    x = 8,029.97

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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.