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Finding the Fourth Proportional to 9,673.40, 13,344.22 and 7,311.44

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Solution

The fourth proportional to 9,673.40, 13,344.22 and 7,311.44 is: 10,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.40 : 13,344.22 = 7,311.44 : x
  2. Step 2: Convert to fraction form
    9,673.40/13,344.22 = 7,311.44/x
  3. Step 3: Cross multiply
    9,673.40x = 13,344.22 × 7,311.44
  4. Step 4: Simplify right side
    9,673.40x = 97,565,463.88
  5. Step 5: Solve for x
    x = 97,565,463.88/9,673.40
  6. Step 6: Final answer
    x = 10,085.95

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Half scale
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Double scale
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Similar ratio
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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.