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Finding the Fourth Proportional to 7,297.70, 10,946.55 and 6,347.30

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Solution

The fourth proportional to 7,297.70, 10,946.55 and 6,347.30 is: 9,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.70 : 10,946.55 = 6,347.30 : x
  2. Step 2: Convert to fraction form
    7,297.70/10,946.55 = 6,347.30/x
  3. Step 3: Cross multiply
    7,297.70x = 10,946.55 × 6,347.30
  4. Step 4: Simplify right side
    7,297.70x = 69,481,036.82
  5. Step 5: Solve for x
    x = 69,481,036.82/7,297.70
  6. Step 6: Final answer
    x = 9,520.95

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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.