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Finding the Fourth Proportional to 16,201.07, 24,287.02 and 6,347.42

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Solution

The fourth proportional to 16,201.07, 24,287.02 and 6,347.42 is: 9,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.07 : 24,287.02 = 6,347.42 : x
  2. Step 2: Convert to fraction form
    16,201.07/24,287.02 = 6,347.42/x
  3. Step 3: Cross multiply
    16,201.07x = 24,287.02 × 6,347.42
  4. Step 4: Simplify right side
    16,201.07x = 154,159,916.49
  5. Step 5: Solve for x
    x = 154,159,916.49/16,201.07
  6. Step 6: Final answer
    x = 9,515.42

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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.