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Finding the Fourth Proportional to 10,674.88, 16,012.32 and 5,477.44

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Solution

The fourth proportional to 10,674.88, 16,012.32 and 5,477.44 is: 8,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.88 : 16,012.32 = 5,477.44 : x
  2. Step 2: Convert to fraction form
    10,674.88/16,012.32 = 5,477.44/x
  3. Step 3: Cross multiply
    10,674.88x = 16,012.32 × 5,477.44
  4. Step 4: Simplify right side
    10,674.88x = 87,706,522.06
  5. Step 5: Solve for x
    x = 87,706,522.06/10,674.88
  6. Step 6: Final answer
    x = 8,216.16

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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.