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Finding the Fourth Proportional to 7,754.88, 11,695.52 and 7,492.40

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Solution

The fourth proportional to 7,754.88, 11,695.52 and 7,492.40 is: 11,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.88 : 11,695.52 = 7,492.40 : x
  2. Step 2: Convert to fraction form
    7,754.88/11,695.52 = 7,492.40/x
  3. Step 3: Cross multiply
    7,754.88x = 11,695.52 × 7,492.40
  4. Step 4: Simplify right side
    7,754.88x = 87,627,514.05
  5. Step 5: Solve for x
    x = 87,627,514.05/7,754.88
  6. Step 6: Final answer
    x = 11,299.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.