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Finding the Fourth Proportional to 13,691.14, 18,893.76 and 7,403.50

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Solution

The fourth proportional to 13,691.14, 18,893.76 and 7,403.50 is: 10,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.14 : 18,893.76 = 7,403.50 : x
  2. Step 2: Convert to fraction form
    13,691.14/18,893.76 = 7,403.50/x
  3. Step 3: Cross multiply
    13,691.14x = 18,893.76 × 7,403.50
  4. Step 4: Simplify right side
    13,691.14x = 139,879,952.16
  5. Step 5: Solve for x
    x = 139,879,952.16/13,691.14
  6. Step 6: Final answer
    x = 10,216.82

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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.