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Finding the Fourth Proportional to 13,514.16, 18,646.16 and 8,209.20

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Solution

The fourth proportional to 13,514.16, 18,646.16 and 8,209.20 is: 11,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.16 : 18,646.16 = 8,209.20 : x
  2. Step 2: Convert to fraction form
    13,514.16/18,646.16 = 8,209.20/x
  3. Step 3: Cross multiply
    13,514.16x = 18,646.16 × 8,209.20
  4. Step 4: Simplify right side
    13,514.16x = 153,070,056.67
  5. Step 5: Solve for x
    x = 153,070,056.67/13,514.16
  6. Step 6: Final answer
    x = 11,326.64

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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.