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Finding the Fourth Proportional to 10,450.14, 14,424.42 and 6,724.14

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Solution

The fourth proportional to 10,450.14, 14,424.42 and 6,724.14 is: 9,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.14 : 14,424.42 = 6,724.14 : x
  2. Step 2: Convert to fraction form
    10,450.14/14,424.42 = 6,724.14/x
  3. Step 3: Cross multiply
    10,450.14x = 14,424.42 × 6,724.14
  4. Step 4: Simplify right side
    10,450.14x = 96,991,819.50
  5. Step 5: Solve for x
    x = 96,991,819.50/10,450.14
  6. Step 6: Final answer
    x = 9,281.39

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Half scale
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Double scale
Find fourth proportional to 10,451.14, 14,425.80 and 6,725.14
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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.