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Finding the Fourth Proportional to 9,189.24, 12,682 and 5,211.64

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Solution

The fourth proportional to 9,189.24, 12,682 and 5,211.64 is: 7,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.24 : 12,682 = 5,211.64 : x
  2. Step 2: Convert to fraction form
    9,189.24/12,682 = 5,211.64/x
  3. Step 3: Cross multiply
    9,189.24x = 12,682 × 5,211.64
  4. Step 4: Simplify right side
    9,189.24x = 66,094,018.48
  5. Step 5: Solve for x
    x = 66,094,018.48/9,189.24
  6. Step 6: Final answer
    x = 7,192.54

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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.