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Finding the Fourth Proportional to 14,837.25, 20,477.70 and 8,463.86

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Solution

The fourth proportional to 14,837.25, 20,477.70 and 8,463.86 is: 11,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,837.25 : 20,477.70 = 8,463.86 : x
  2. Step 2: Convert to fraction form
    14,837.25/20,477.70 = 8,463.86/x
  3. Step 3: Cross multiply
    14,837.25x = 20,477.70 × 8,463.86
  4. Step 4: Simplify right side
    14,837.25x = 173,320,385.92
  5. Step 5: Solve for x
    x = 173,320,385.92/14,837.25
  6. Step 6: Final answer
    x = 11,681.44

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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.