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Finding the Fourth Proportional to 9,675.60, 14,524.20 and 5,782.20

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Solution

The fourth proportional to 9,675.60, 14,524.20 and 5,782.20 is: 8,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.60 : 14,524.20 = 5,782.20 : x
  2. Step 2: Convert to fraction form
    9,675.60/14,524.20 = 5,782.20/x
  3. Step 3: Cross multiply
    9,675.60x = 14,524.20 × 5,782.20
  4. Step 4: Simplify right side
    9,675.60x = 83,981,829.24
  5. Step 5: Solve for x
    x = 83,981,829.24/9,675.60
  6. Step 6: Final answer
    x = 8,679.75

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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.