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Finding the Fourth Proportional to 16,201.10, 24,292.06 and 6,328.82

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Solution

The fourth proportional to 16,201.10, 24,292.06 and 6,328.82 is: 9,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.10 : 24,292.06 = 6,328.82 : x
  2. Step 2: Convert to fraction form
    16,201.10/24,292.06 = 6,328.82/x
  3. Step 3: Cross multiply
    16,201.10x = 24,292.06 × 6,328.82
  4. Step 4: Simplify right side
    16,201.10x = 153,740,075.17
  5. Step 5: Solve for x
    x = 153,740,075.17/16,201.10
  6. Step 6: Final answer
    x = 9,489.48

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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.