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Finding the Fourth Proportional to 9,165.55, 13,717.16 and 5,657.77

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Solution

The fourth proportional to 9,165.55, 13,717.16 and 5,657.77 is: 8,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.55 : 13,717.16 = 5,657.77 : x
  2. Step 2: Convert to fraction form
    9,165.55/13,717.16 = 5,657.77/x
  3. Step 3: Cross multiply
    9,165.55x = 13,717.16 × 5,657.77
  4. Step 4: Simplify right side
    9,165.55x = 77,608,439.46
  5. Step 5: Solve for x
    x = 77,608,439.46/9,165.55
  6. Step 6: Final answer
    x = 8,467.41

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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.