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Finding the Fourth Proportional to 34,657.72, 51,986.13 and 8,362.24

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Solution

The fourth proportional to 34,657.72, 51,986.13 and 8,362.24 is: 12,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.72 : 51,986.13 = 8,362.24 : x
  2. Step 2: Convert to fraction form
    34,657.72/51,986.13 = 8,362.24/x
  3. Step 3: Cross multiply
    34,657.72x = 51,986.13 × 8,362.24
  4. Step 4: Simplify right side
    34,657.72x = 434,720,495.73
  5. Step 5: Solve for x
    x = 434,720,495.73/34,657.72
  6. Step 6: Final answer
    x = 12,543.25

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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.