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Finding the Fourth Proportional to 9,762.36, 13,472.06 and 6,227.61

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Solution

The fourth proportional to 9,762.36, 13,472.06 and 6,227.61 is: 8,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.36 : 13,472.06 = 6,227.61 : x
  2. Step 2: Convert to fraction form
    9,762.36/13,472.06 = 6,227.61/x
  3. Step 3: Cross multiply
    9,762.36x = 13,472.06 × 6,227.61
  4. Step 4: Simplify right side
    9,762.36x = 83,898,704.44
  5. Step 5: Solve for x
    x = 83,898,704.44/9,762.36
  6. Step 6: Final answer
    x = 8,594.10

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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.