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Finding the Fourth Proportional to 12,992.60, 19,460.10 and 5,197.40

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Solution

The fourth proportional to 12,992.60, 19,460.10 and 5,197.40 is: 7,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.60 : 19,460.10 = 5,197.40 : x
  2. Step 2: Convert to fraction form
    12,992.60/19,460.10 = 5,197.40/x
  3. Step 3: Cross multiply
    12,992.60x = 19,460.10 × 5,197.40
  4. Step 4: Simplify right side
    12,992.60x = 101,141,923.74
  5. Step 5: Solve for x
    x = 101,141,923.74/12,992.60
  6. Step 6: Final answer
    x = 7,784.58

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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.