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Finding the Fourth Proportional to 14,483.76, 21,724.92 and 7,922.76

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Solution

The fourth proportional to 14,483.76, 21,724.92 and 7,922.76 is: 11,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483.76 : 21,724.92 = 7,922.76 : x
  2. Step 2: Convert to fraction form
    14,483.76/21,724.92 = 7,922.76/x
  3. Step 3: Cross multiply
    14,483.76x = 21,724.92 × 7,922.76
  4. Step 4: Simplify right side
    14,483.76x = 172,121,327.18
  5. Step 5: Solve for x
    x = 172,121,327.18/14,483.76
  6. Step 6: Final answer
    x = 11,883.75

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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.