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Finding the Fourth Proportional to 12,230.01, 18,348.10 and 3,465

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Solution

The fourth proportional to 12,230.01, 18,348.10 and 3,465 is: 5,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.01 : 18,348.10 = 3,465 : x
  2. Step 2: Convert to fraction form
    12,230.01/18,348.10 = 3,465/x
  3. Step 3: Cross multiply
    12,230.01x = 18,348.10 × 3,465
  4. Step 4: Simplify right side
    12,230.01x = 63,576,166.50
  5. Step 5: Solve for x
    x = 63,576,166.50/12,230.01
  6. Step 6: Final answer
    x = 5,198.37

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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.