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Finding the Fourth Proportional to 10,423.74, 14,365.80 and 8,234.04

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Solution

The fourth proportional to 10,423.74, 14,365.80 and 8,234.04 is: 11,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.74 : 14,365.80 = 8,234.04 : x
  2. Step 2: Convert to fraction form
    10,423.74/14,365.80 = 8,234.04/x
  3. Step 3: Cross multiply
    10,423.74x = 14,365.80 × 8,234.04
  4. Step 4: Simplify right side
    10,423.74x = 118,288,571.83
  5. Step 5: Solve for x
    x = 118,288,571.83/10,423.74
  6. Step 6: Final answer
    x = 11,348.00

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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.