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Finding the Fourth Proportional to 10,635.36, 14,676.64 and 5,919.64

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Solution

The fourth proportional to 10,635.36, 14,676.64 and 5,919.64 is: 8,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.36 : 14,676.64 = 5,919.64 : x
  2. Step 2: Convert to fraction form
    10,635.36/14,676.64 = 5,919.64/x
  3. Step 3: Cross multiply
    10,635.36x = 14,676.64 × 5,919.64
  4. Step 4: Simplify right side
    10,635.36x = 86,880,322.23
  5. Step 5: Solve for x
    x = 86,880,322.23/10,635.36
  6. Step 6: Final answer
    x = 8,169.01

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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.