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Finding the Fourth Proportional to 11,803.70, 16,298.62 and 8,034.78

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Solution

The fourth proportional to 11,803.70, 16,298.62 and 8,034.78 is: 11,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.70 : 16,298.62 = 8,034.78 : x
  2. Step 2: Convert to fraction form
    11,803.70/16,298.62 = 8,034.78/x
  3. Step 3: Cross multiply
    11,803.70x = 16,298.62 × 8,034.78
  4. Step 4: Simplify right side
    11,803.70x = 130,955,826.00
  5. Step 5: Solve for x
    x = 130,955,826.00/11,803.70
  6. Step 6: Final answer
    x = 11,094.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.