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Finding the Fourth Proportional to 21,974.00, 32,963.02 and 7,182.99

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Solution

The fourth proportional to 21,974.00, 32,963.02 and 7,182.99 is: 10,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.00 : 32,963.02 = 7,182.99 : x
  2. Step 2: Convert to fraction form
    21,974.00/32,963.02 = 7,182.99/x
  3. Step 3: Cross multiply
    21,974.00x = 32,963.02 × 7,182.99
  4. Step 4: Simplify right side
    21,974.00x = 236,773,025.07
  5. Step 5: Solve for x
    x = 236,773,025.07/21,974.00
  6. Step 6: Final answer
    x = 10,775.15

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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.