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Finding the Fourth Proportional to 14,657.74, 20,228.07 and 8,369.98

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Solution

The fourth proportional to 14,657.74, 20,228.07 and 8,369.98 is: 11,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.74 : 20,228.07 = 8,369.98 : x
  2. Step 2: Convert to fraction form
    14,657.74/20,228.07 = 8,369.98/x
  3. Step 3: Cross multiply
    14,657.74x = 20,228.07 × 8,369.98
  4. Step 4: Simplify right side
    14,657.74x = 169,308,541.34
  5. Step 5: Solve for x
    x = 169,308,541.34/14,657.74
  6. Step 6: Final answer
    x = 11,550.79

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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.