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Finding the Fourth Proportional to 25,962, 35,827.56 and 14,786.16

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Solution

The fourth proportional to 25,962, 35,827.56 and 14,786.16 is: 20,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,962 : 35,827.56 = 14,786.16 : x
  2. Step 2: Convert to fraction form
    25,962/35,827.56 = 14,786.16/x
  3. Step 3: Cross multiply
    25,962x = 35,827.56 × 14,786.16
  4. Step 4: Simplify right side
    25,962x = 529,752,034.57
  5. Step 5: Solve for x
    x = 529,752,034.57/25,962
  6. Step 6: Final answer
    x = 20,404.90

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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.