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Finding the Fourth Proportional to 12,831.60, 19,237.80 and 6,994.80

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Solution

The fourth proportional to 12,831.60, 19,237.80 and 6,994.80 is: 10,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.60 : 19,237.80 = 6,994.80 : x
  2. Step 2: Convert to fraction form
    12,831.60/19,237.80 = 6,994.80/x
  3. Step 3: Cross multiply
    12,831.60x = 19,237.80 × 6,994.80
  4. Step 4: Simplify right side
    12,831.60x = 134,564,563.44
  5. Step 5: Solve for x
    x = 134,564,563.44/12,831.60
  6. Step 6: Final answer
    x = 10,486.97

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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.