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Finding the Fourth Proportional to 9,782.40, 14,657.40 and 8,324.40

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Solution

The fourth proportional to 9,782.40, 14,657.40 and 8,324.40 is: 12,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.40 : 14,657.40 = 8,324.40 : x
  2. Step 2: Convert to fraction form
    9,782.40/14,657.40 = 8,324.40/x
  3. Step 3: Cross multiply
    9,782.40x = 14,657.40 × 8,324.40
  4. Step 4: Simplify right side
    9,782.40x = 122,014,060.56
  5. Step 5: Solve for x
    x = 122,014,060.56/9,782.40
  6. Step 6: Final answer
    x = 12,472.81

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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.