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Finding the Fourth Proportional to 17,728.54, 26,597.74 and 7,734.16

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Solution

The fourth proportional to 17,728.54, 26,597.74 and 7,734.16 is: 11,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.54 : 26,597.74 = 7,734.16 : x
  2. Step 2: Convert to fraction form
    17,728.54/26,597.74 = 7,734.16/x
  3. Step 3: Cross multiply
    17,728.54x = 26,597.74 × 7,734.16
  4. Step 4: Simplify right side
    17,728.54x = 205,711,176.80
  5. Step 5: Solve for x
    x = 205,711,176.80/17,728.54
  6. Step 6: Final answer
    x = 11,603.39

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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.