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Finding the Fourth Proportional to 21,604.76, 32,407.14 and 6,814.83

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Solution

The fourth proportional to 21,604.76, 32,407.14 and 6,814.83 is: 10,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,604.76 : 32,407.14 = 6,814.83 : x
  2. Step 2: Convert to fraction form
    21,604.76/32,407.14 = 6,814.83/x
  3. Step 3: Cross multiply
    21,604.76x = 32,407.14 × 6,814.83
  4. Step 4: Simplify right side
    21,604.76x = 220,849,149.89
  5. Step 5: Solve for x
    x = 220,849,149.89/21,604.76
  6. Step 6: Final answer
    x = 10,222.25

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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.