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Finding the Fourth Proportional to 9,674.34, 13,352.76 and 6,311.22

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Solution

The fourth proportional to 9,674.34, 13,352.76 and 6,311.22 is: 8,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.34 : 13,352.76 = 6,311.22 : x
  2. Step 2: Convert to fraction form
    9,674.34/13,352.76 = 6,311.22/x
  3. Step 3: Cross multiply
    9,674.34x = 13,352.76 × 6,311.22
  4. Step 4: Simplify right side
    9,674.34x = 84,272,205.97
  5. Step 5: Solve for x
    x = 84,272,205.97/9,674.34
  6. Step 6: Final answer
    x = 8,710.90

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Half scale
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Double scale
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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.