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Finding the Fourth Proportional to 11,811.20, 17,697.60 and 9,852.80

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Solution

The fourth proportional to 11,811.20, 17,697.60 and 9,852.80 is: 14,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.20 : 17,697.60 = 9,852.80 : x
  2. Step 2: Convert to fraction form
    11,811.20/17,697.60 = 9,852.80/x
  3. Step 3: Cross multiply
    11,811.20x = 17,697.60 × 9,852.80
  4. Step 4: Simplify right side
    11,811.20x = 174,370,913.28
  5. Step 5: Solve for x
    x = 174,370,913.28/11,811.20
  6. Step 6: Final answer
    x = 14,763.18

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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.