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Finding the Fourth Proportional to 9,782.48, 14,672.18 and 2,763.02

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Solution

The fourth proportional to 9,782.48, 14,672.18 and 2,763.02 is: 4,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.48 : 14,672.18 = 2,763.02 : x
  2. Step 2: Convert to fraction form
    9,782.48/14,672.18 = 2,763.02/x
  3. Step 3: Cross multiply
    9,782.48x = 14,672.18 × 2,763.02
  4. Step 4: Simplify right side
    9,782.48x = 40,539,460.33
  5. Step 5: Solve for x
    x = 40,539,460.33/9,782.48
  6. Step 6: Final answer
    x = 4,144.09

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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.