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Finding the Fourth Proportional to 14,095.63, 19,451.96 and 8,506.63

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Solution

The fourth proportional to 14,095.63, 19,451.96 and 8,506.63 is: 11,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.63 : 19,451.96 = 8,506.63 : x
  2. Step 2: Convert to fraction form
    14,095.63/19,451.96 = 8,506.63/x
  3. Step 3: Cross multiply
    14,095.63x = 19,451.96 × 8,506.63
  4. Step 4: Simplify right side
    14,095.63x = 165,470,626.49
  5. Step 5: Solve for x
    x = 165,470,626.49/14,095.63
  6. Step 6: Final answer
    x = 11,739.14

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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.