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Finding the Fourth Proportional to 15,222.32, 22,801.84 and 7,804.32

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Solution

The fourth proportional to 15,222.32, 22,801.84 and 7,804.32 is: 11,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.32 : 22,801.84 = 7,804.32 : x
  2. Step 2: Convert to fraction form
    15,222.32/22,801.84 = 7,804.32/x
  3. Step 3: Cross multiply
    15,222.32x = 22,801.84 × 7,804.32
  4. Step 4: Simplify right side
    15,222.32x = 177,952,855.95
  5. Step 5: Solve for x
    x = 177,952,855.95/15,222.32
  6. Step 6: Final answer
    x = 11,690.26

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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.