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Finding the Fourth Proportional to 15,192.56, 22,803.44 and 7,406.84

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Solution

The fourth proportional to 15,192.56, 22,803.44 and 7,406.84 is: 11,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,192.56 : 22,803.44 = 7,406.84 : x
  2. Step 2: Convert to fraction form
    15,192.56/22,803.44 = 7,406.84/x
  3. Step 3: Cross multiply
    15,192.56x = 22,803.44 × 7,406.84
  4. Step 4: Simplify right side
    15,192.56x = 168,901,431.53
  5. Step 5: Solve for x
    x = 168,901,431.53/15,192.56
  6. Step 6: Final answer
    x = 11,117.38

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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.