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Finding the Fourth Proportional to 6,596.64, 9,102.24 and 3,763.80

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Solution

The fourth proportional to 6,596.64, 9,102.24 and 3,763.80 is: 5,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.64 : 9,102.24 = 3,763.80 : x
  2. Step 2: Convert to fraction form
    6,596.64/9,102.24 = 3,763.80/x
  3. Step 3: Cross multiply
    6,596.64x = 9,102.24 × 3,763.80
  4. Step 4: Simplify right side
    6,596.64x = 34,259,010.91
  5. Step 5: Solve for x
    x = 34,259,010.91/6,596.64
  6. Step 6: Final answer
    x = 5,193.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.