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Finding the Fourth Proportional to 16,509.63, 24,769.10 and 6,508.20

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Solution

The fourth proportional to 16,509.63, 24,769.10 and 6,508.20 is: 9,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.63 : 24,769.10 = 6,508.20 : x
  2. Step 2: Convert to fraction form
    16,509.63/24,769.10 = 6,508.20/x
  3. Step 3: Cross multiply
    16,509.63x = 24,769.10 × 6,508.20
  4. Step 4: Simplify right side
    16,509.63x = 161,202,256.62
  5. Step 5: Solve for x
    x = 161,202,256.62/16,509.63
  6. Step 6: Final answer
    x = 9,764.14

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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.