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Finding the Fourth Proportional to 21,530.68, 32,297.88 and 5,948.32

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Solution

The fourth proportional to 21,530.68, 32,297.88 and 5,948.32 is: 8,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.68 : 32,297.88 = 5,948.32 : x
  2. Step 2: Convert to fraction form
    21,530.68/32,297.88 = 5,948.32/x
  3. Step 3: Cross multiply
    21,530.68x = 32,297.88 × 5,948.32
  4. Step 4: Simplify right side
    21,530.68x = 192,118,125.56
  5. Step 5: Solve for x
    x = 192,118,125.56/21,530.68
  6. Step 6: Final answer
    x = 8,922.99

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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.