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Finding the Fourth Proportional to 14,364.86, 19,823.14 and 7,991.47

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Solution

The fourth proportional to 14,364.86, 19,823.14 and 7,991.47 is: 11,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.86 : 19,823.14 = 7,991.47 : x
  2. Step 2: Convert to fraction form
    14,364.86/19,823.14 = 7,991.47/x
  3. Step 3: Cross multiply
    14,364.86x = 19,823.14 × 7,991.47
  4. Step 4: Simplify right side
    14,364.86x = 158,416,028.62
  5. Step 5: Solve for x
    x = 158,416,028.62/14,364.86
  6. Step 6: Final answer
    x = 11,028.02

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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.