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Finding the Fourth Proportional to 26,492.40, 39,728.76 and 7,767.60

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Solution

The fourth proportional to 26,492.40, 39,728.76 and 7,767.60 is: 11,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492.40 : 39,728.76 = 7,767.60 : x
  2. Step 2: Convert to fraction form
    26,492.40/39,728.76 = 7,767.60/x
  3. Step 3: Cross multiply
    26,492.40x = 39,728.76 × 7,767.60
  4. Step 4: Simplify right side
    26,492.40x = 308,597,116.18
  5. Step 5: Solve for x
    x = 308,597,116.18/26,492.40
  6. Step 6: Final answer
    x = 11,648.51

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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.