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Finding the Fourth Proportional to 7,085.40, 9,755.36 and 5,401.40

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Solution

The fourth proportional to 7,085.40, 9,755.36 and 5,401.40 is: 7,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.40 : 9,755.36 = 5,401.40 : x
  2. Step 2: Convert to fraction form
    7,085.40/9,755.36 = 5,401.40/x
  3. Step 3: Cross multiply
    7,085.40x = 9,755.36 × 5,401.40
  4. Step 4: Simplify right side
    7,085.40x = 52,692,601.50
  5. Step 5: Solve for x
    x = 52,692,601.50/7,085.40
  6. Step 6: Final answer
    x = 7,436.79

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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.