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Finding the Fourth Proportional to 13,466.67, 18,582.39 and 7,497.42

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Solution

The fourth proportional to 13,466.67, 18,582.39 and 7,497.42 is: 10,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.67 : 18,582.39 = 7,497.42 : x
  2. Step 2: Convert to fraction form
    13,466.67/18,582.39 = 7,497.42/x
  3. Step 3: Cross multiply
    13,466.67x = 18,582.39 × 7,497.42
  4. Step 4: Simplify right side
    13,466.67x = 139,319,982.43
  5. Step 5: Solve for x
    x = 139,319,982.43/13,466.67
  6. Step 6: Final answer
    x = 10,345.54

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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.