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Finding the Fourth Proportional to 11,869.14, 16,378.02 and 6,563.64

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Solution

The fourth proportional to 11,869.14, 16,378.02 and 6,563.64 is: 9,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.14 : 16,378.02 = 6,563.64 : x
  2. Step 2: Convert to fraction form
    11,869.14/16,378.02 = 6,563.64/x
  3. Step 3: Cross multiply
    11,869.14x = 16,378.02 × 6,563.64
  4. Step 4: Simplify right side
    11,869.14x = 107,499,427.19
  5. Step 5: Solve for x
    x = 107,499,427.19/11,869.14
  6. Step 6: Final answer
    x = 9,057.05

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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.