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Finding the Fourth Proportional to 7,550.24, 10,420 and 4,407.44

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Solution

The fourth proportional to 7,550.24, 10,420 and 4,407.44 is: 6,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.24 : 10,420 = 4,407.44 : x
  2. Step 2: Convert to fraction form
    7,550.24/10,420 = 4,407.44/x
  3. Step 3: Cross multiply
    7,550.24x = 10,420 × 4,407.44
  4. Step 4: Simplify right side
    7,550.24x = 45,925,524.80
  5. Step 5: Solve for x
    x = 45,925,524.80/7,550.24
  6. Step 6: Final answer
    x = 6,082.66

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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.