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Finding the Fourth Proportional to 14,798.25, 22,201.22 and 4,410

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Solution

The fourth proportional to 14,798.25, 22,201.22 and 4,410 is: 6,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.25 : 22,201.22 = 4,410 : x
  2. Step 2: Convert to fraction form
    14,798.25/22,201.22 = 4,410/x
  3. Step 3: Cross multiply
    14,798.25x = 22,201.22 × 4,410
  4. Step 4: Simplify right side
    14,798.25x = 97,907,391.23
  5. Step 5: Solve for x
    x = 97,907,391.23/14,798.25
  6. Step 6: Final answer
    x = 6,616.15

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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.