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Finding the Fourth Proportional to 21,954.30, 32,932.46 and 7,164.10

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Solution

The fourth proportional to 21,954.30, 32,932.46 and 7,164.10 is: 10,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.30 : 32,932.46 = 7,164.10 : x
  2. Step 2: Convert to fraction form
    21,954.30/32,932.46 = 7,164.10/x
  3. Step 3: Cross multiply
    21,954.30x = 32,932.46 × 7,164.10
  4. Step 4: Simplify right side
    21,954.30x = 235,931,436.69
  5. Step 5: Solve for x
    x = 235,931,436.69/21,954.30
  6. Step 6: Final answer
    x = 10,746.48

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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.