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Finding the Fourth Proportional to 15,216.04, 22,809.84 and 7,804.09

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Solution

The fourth proportional to 15,216.04, 22,809.84 and 7,804.09 is: 11,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216.04 : 22,809.84 = 7,804.09 : x
  2. Step 2: Convert to fraction form
    15,216.04/22,809.84 = 7,804.09/x
  3. Step 3: Cross multiply
    15,216.04x = 22,809.84 × 7,804.09
  4. Step 4: Simplify right side
    15,216.04x = 178,010,044.25
  5. Step 5: Solve for x
    x = 178,010,044.25/15,216.04
  6. Step 6: Final answer
    x = 11,698.84

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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.