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Finding the Fourth Proportional to 13,668.16, 18,859.68 and 8,077.12

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Solution

The fourth proportional to 13,668.16, 18,859.68 and 8,077.12 is: 11,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.16 : 18,859.68 = 8,077.12 : x
  2. Step 2: Convert to fraction form
    13,668.16/18,859.68 = 8,077.12/x
  3. Step 3: Cross multiply
    13,668.16x = 18,859.68 × 8,077.12
  4. Step 4: Simplify right side
    13,668.16x = 152,331,898.52
  5. Step 5: Solve for x
    x = 152,331,898.52/13,668.16
  6. Step 6: Final answer
    x = 11,145.02

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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.