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Finding the Fourth Proportional to 15,695.97, 23,492.91 and 11,535

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Solution

The fourth proportional to 15,695.97, 23,492.91 and 11,535 is: 17,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.97 : 23,492.91 = 11,535 : x
  2. Step 2: Convert to fraction form
    15,695.97/23,492.91 = 11,535/x
  3. Step 3: Cross multiply
    15,695.97x = 23,492.91 × 11,535
  4. Step 4: Simplify right side
    15,695.97x = 270,990,716.85
  5. Step 5: Solve for x
    x = 270,990,716.85/15,695.97
  6. Step 6: Final answer
    x = 17,264.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.