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Finding the Fourth Proportional to 14,008.86, 19,333.44 and 7,722.48

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Solution

The fourth proportional to 14,008.86, 19,333.44 and 7,722.48 is: 10,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.86 : 19,333.44 = 7,722.48 : x
  2. Step 2: Convert to fraction form
    14,008.86/19,333.44 = 7,722.48/x
  3. Step 3: Cross multiply
    14,008.86x = 19,333.44 × 7,722.48
  4. Step 4: Simplify right side
    14,008.86x = 149,302,103.73
  5. Step 5: Solve for x
    x = 149,302,103.73/14,008.86
  6. Step 6: Final answer
    x = 10,657.69

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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.