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Finding the Fourth Proportional to 17,782.40, 26,683.20 and 7,923.20

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Solution

The fourth proportional to 17,782.40, 26,683.20 and 7,923.20 is: 11,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.40 : 26,683.20 = 7,923.20 : x
  2. Step 2: Convert to fraction form
    17,782.40/26,683.20 = 7,923.20/x
  3. Step 3: Cross multiply
    17,782.40x = 26,683.20 × 7,923.20
  4. Step 4: Simplify right side
    17,782.40x = 211,416,330.24
  5. Step 5: Solve for x
    x = 211,416,330.24/17,782.40
  6. Step 6: Final answer
    x = 11,889.08

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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.