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Finding the Fourth Proportional to 13,416, 18,514.08 and 7,825.92

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Solution

The fourth proportional to 13,416, 18,514.08 and 7,825.92 is: 10,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416 : 18,514.08 = 7,825.92 : x
  2. Step 2: Convert to fraction form
    13,416/18,514.08 = 7,825.92/x
  3. Step 3: Cross multiply
    13,416x = 18,514.08 × 7,825.92
  4. Step 4: Simplify right side
    13,416x = 144,889,708.95
  5. Step 5: Solve for x
    x = 144,889,708.95/13,416
  6. Step 6: Final answer
    x = 10,799.77

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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.