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Finding the Fourth Proportional to 9,462.12, 14,193.21 and 9,448.47

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Solution

The fourth proportional to 9,462.12, 14,193.21 and 9,448.47 is: 14,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.12 : 14,193.21 = 9,448.47 : x
  2. Step 2: Convert to fraction form
    9,462.12/14,193.21 = 9,448.47/x
  3. Step 3: Cross multiply
    9,462.12x = 14,193.21 × 9,448.47
  4. Step 4: Simplify right side
    9,462.12x = 134,104,118.89
  5. Step 5: Solve for x
    x = 134,104,118.89/9,462.12
  6. Step 6: Final answer
    x = 14,172.73

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.