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Finding the Fourth Proportional to 14,782.60, 22,190.10 and 9,242.20

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Solution

The fourth proportional to 14,782.60, 22,190.10 and 9,242.20 is: 13,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.60 : 22,190.10 = 9,242.20 : x
  2. Step 2: Convert to fraction form
    14,782.60/22,190.10 = 9,242.20/x
  3. Step 3: Cross multiply
    14,782.60x = 22,190.10 × 9,242.20
  4. Step 4: Simplify right side
    14,782.60x = 205,085,342.22
  5. Step 5: Solve for x
    x = 205,085,342.22/14,782.60
  6. Step 6: Final answer
    x = 13,873.43

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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.