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Finding the Fourth Proportional to 21,963.83, 32,946.14 and 7,924.91

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Solution

The fourth proportional to 21,963.83, 32,946.14 and 7,924.91 is: 11,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.83 : 32,946.14 = 7,924.91 : x
  2. Step 2: Convert to fraction form
    21,963.83/32,946.14 = 7,924.91/x
  3. Step 3: Cross multiply
    21,963.83x = 32,946.14 × 7,924.91
  4. Step 4: Simplify right side
    21,963.83x = 261,094,989.99
  5. Step 5: Solve for x
    x = 261,094,989.99/21,963.83
  6. Step 6: Final answer
    x = 11,887.50

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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.