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Finding the Fourth Proportional to 21,598.50, 32,398.94 and 6,808.58

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Solution

The fourth proportional to 21,598.50, 32,398.94 and 6,808.58 is: 10,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.50 : 32,398.94 = 6,808.58 : x
  2. Step 2: Convert to fraction form
    21,598.50/32,398.94 = 6,808.58/x
  3. Step 3: Cross multiply
    21,598.50x = 32,398.94 × 6,808.58
  4. Step 4: Simplify right side
    21,598.50x = 220,590,774.91
  5. Step 5: Solve for x
    x = 220,590,774.91/21,598.50
  6. Step 6: Final answer
    x = 10,213.25

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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.