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Finding the Fourth Proportional to 15,277.44, 22,900.16 and 6,397.84

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Solution

The fourth proportional to 15,277.44, 22,900.16 and 6,397.84 is: 9,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277.44 : 22,900.16 = 6,397.84 : x
  2. Step 2: Convert to fraction form
    15,277.44/22,900.16 = 6,397.84/x
  3. Step 3: Cross multiply
    15,277.44x = 22,900.16 × 6,397.84
  4. Step 4: Simplify right side
    15,277.44x = 146,511,559.65
  5. Step 5: Solve for x
    x = 146,511,559.65/15,277.44
  6. Step 6: Final answer
    x = 9,590.06

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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.