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Finding the Fourth Proportional to 14,462.54, 21,697.00 and 6,149.68

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Solution

The fourth proportional to 14,462.54, 21,697.00 and 6,149.68 is: 9,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.54 : 21,697.00 = 6,149.68 : x
  2. Step 2: Convert to fraction form
    14,462.54/21,697.00 = 6,149.68/x
  3. Step 3: Cross multiply
    14,462.54x = 21,697.00 × 6,149.68
  4. Step 4: Simplify right side
    14,462.54x = 133,429,537.34
  5. Step 5: Solve for x
    x = 133,429,537.34/14,462.54
  6. Step 6: Final answer
    x = 9,225.87

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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.