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Finding the Fourth Proportional to 13,978.47, 19,296.30 and 9,992.67

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Solution

The fourth proportional to 13,978.47, 19,296.30 and 9,992.67 is: 13,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.47 : 19,296.30 = 9,992.67 : x
  2. Step 2: Convert to fraction form
    13,978.47/19,296.30 = 9,992.67/x
  3. Step 3: Cross multiply
    13,978.47x = 19,296.30 × 9,992.67
  4. Step 4: Simplify right side
    13,978.47x = 192,821,558.12
  5. Step 5: Solve for x
    x = 192,821,558.12/13,978.47
  6. Step 6: Final answer
    x = 13,794.18

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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.