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Finding the Fourth Proportional to 15,046.76, 22,570.14 and 6,833

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Solution

The fourth proportional to 15,046.76, 22,570.14 and 6,833 is: 10,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046.76 : 22,570.14 = 6,833 : x
  2. Step 2: Convert to fraction form
    15,046.76/22,570.14 = 6,833/x
  3. Step 3: Cross multiply
    15,046.76x = 22,570.14 × 6,833
  4. Step 4: Simplify right side
    15,046.76x = 154,221,766.62
  5. Step 5: Solve for x
    x = 154,221,766.62/15,046.76
  6. Step 6: Final answer
    x = 10,249.50

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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.