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Finding the Fourth Proportional to 25,695.84, 35,460 and 16,272.12

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Solution

The fourth proportional to 25,695.84, 35,460 and 16,272.12 is: 22,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695.84 : 35,460 = 16,272.12 : x
  2. Step 2: Convert to fraction form
    25,695.84/35,460 = 16,272.12/x
  3. Step 3: Cross multiply
    25,695.84x = 35,460 × 16,272.12
  4. Step 4: Simplify right side
    25,695.84x = 577,009,375.20
  5. Step 5: Solve for x
    x = 577,009,375.20/25,695.84
  6. Step 6: Final answer
    x = 22,455.36

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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.