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Finding the Fourth Proportional to 10,425.75, 14,388.74 and 5,950.14

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Solution

The fourth proportional to 10,425.75, 14,388.74 and 5,950.14 is: 8,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.75 : 14,388.74 = 5,950.14 : x
  2. Step 2: Convert to fraction form
    10,425.75/14,388.74 = 5,950.14/x
  3. Step 3: Cross multiply
    10,425.75x = 14,388.74 × 5,950.14
  4. Step 4: Simplify right side
    10,425.75x = 85,615,017.42
  5. Step 5: Solve for x
    x = 85,615,017.42/10,425.75
  6. Step 6: Final answer
    x = 8,211.88

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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.