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Finding the Fourth Proportional to 21,535.30, 32,302.92 and 5,952.88

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Solution

The fourth proportional to 21,535.30, 32,302.92 and 5,952.88 is: 8,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535.30 : 32,302.92 = 5,952.88 : x
  2. Step 2: Convert to fraction form
    21,535.30/32,302.92 = 5,952.88/x
  3. Step 3: Cross multiply
    21,535.30x = 32,302.92 × 5,952.88
  4. Step 4: Simplify right side
    21,535.30x = 192,295,406.41
  5. Step 5: Solve for x
    x = 192,295,406.41/21,535.30
  6. Step 6: Final answer
    x = 8,929.31

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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.