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Finding the Fourth Proportional to 14,234.58, 21,356.73 and 6,448.86

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Solution

The fourth proportional to 14,234.58, 21,356.73 and 6,448.86 is: 9,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.58 : 21,356.73 = 6,448.86 : x
  2. Step 2: Convert to fraction form
    14,234.58/21,356.73 = 6,448.86/x
  3. Step 3: Cross multiply
    14,234.58x = 21,356.73 × 6,448.86
  4. Step 4: Simplify right side
    14,234.58x = 137,726,561.83
  5. Step 5: Solve for x
    x = 137,726,561.83/14,234.58
  6. Step 6: Final answer
    x = 9,675.49

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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.