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Finding the Fourth Proportional to 11,867.60, 17,782.20 and 7,477.20

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Solution

The fourth proportional to 11,867.60, 17,782.20 and 7,477.20 is: 11,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.60 : 17,782.20 = 7,477.20 : x
  2. Step 2: Convert to fraction form
    11,867.60/17,782.20 = 7,477.20/x
  3. Step 3: Cross multiply
    11,867.60x = 17,782.20 × 7,477.20
  4. Step 4: Simplify right side
    11,867.60x = 132,961,065.84
  5. Step 5: Solve for x
    x = 132,961,065.84/11,867.60
  6. Step 6: Final answer
    x = 11,203.70

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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.