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Finding the Fourth Proportional to 9,494.48, 14,244.16 and 6,829.14

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Solution

The fourth proportional to 9,494.48, 14,244.16 and 6,829.14 is: 10,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.48 : 14,244.16 = 6,829.14 : x
  2. Step 2: Convert to fraction form
    9,494.48/14,244.16 = 6,829.14/x
  3. Step 3: Cross multiply
    9,494.48x = 14,244.16 × 6,829.14
  4. Step 4: Simplify right side
    9,494.48x = 97,275,362.82
  5. Step 5: Solve for x
    x = 97,275,362.82/9,494.48
  6. Step 6: Final answer
    x = 10,245.47

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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.