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Finding the Fourth Proportional to 5,294.70, 7,311.06 and 4,734.18

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Solution

The fourth proportional to 5,294.70, 7,311.06 and 4,734.18 is: 6,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.70 : 7,311.06 = 4,734.18 : x
  2. Step 2: Convert to fraction form
    5,294.70/7,311.06 = 4,734.18/x
  3. Step 3: Cross multiply
    5,294.70x = 7,311.06 × 4,734.18
  4. Step 4: Simplify right side
    5,294.70x = 34,611,874.03
  5. Step 5: Solve for x
    x = 34,611,874.03/5,294.70
  6. Step 6: Final answer
    x = 6,537.08

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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.