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Finding the Fourth Proportional to 14,804.98, 22,219.25 and 7,789.10

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Solution

The fourth proportional to 14,804.98, 22,219.25 and 7,789.10 is: 11,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.98 : 22,219.25 = 7,789.10 : x
  2. Step 2: Convert to fraction form
    14,804.98/22,219.25 = 7,789.10/x
  3. Step 3: Cross multiply
    14,804.98x = 22,219.25 × 7,789.10
  4. Step 4: Simplify right side
    14,804.98x = 173,067,810.13
  5. Step 5: Solve for x
    x = 173,067,810.13/14,804.98
  6. Step 6: Final answer
    x = 11,689.84

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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.