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Finding the Fourth Proportional to 6,722.34, 9,276.30 and 3,738

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Solution

The fourth proportional to 6,722.34, 9,276.30 and 3,738 is: 5,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.34 : 9,276.30 = 3,738 : x
  2. Step 2: Convert to fraction form
    6,722.34/9,276.30 = 3,738/x
  3. Step 3: Cross multiply
    6,722.34x = 9,276.30 × 3,738
  4. Step 4: Simplify right side
    6,722.34x = 34,674,809.40
  5. Step 5: Solve for x
    x = 34,674,809.40/6,722.34
  6. Step 6: Final answer
    x = 5,158.15

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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.