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Finding the Fourth Proportional to 16,509.42, 24,764.94 and 6,647.37

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Solution

The fourth proportional to 16,509.42, 24,764.94 and 6,647.37 is: 9,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.42 : 24,764.94 = 6,647.37 : x
  2. Step 2: Convert to fraction form
    16,509.42/24,764.94 = 6,647.37/x
  3. Step 3: Cross multiply
    16,509.42x = 24,764.94 × 6,647.37
  4. Step 4: Simplify right side
    16,509.42x = 164,621,626.34
  5. Step 5: Solve for x
    x = 164,621,626.34/16,509.42
  6. Step 6: Final answer
    x = 9,971.38

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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.