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Finding the Fourth Proportional to 7,553.20, 10,423.20 and 4,409.20

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Solution

The fourth proportional to 7,553.20, 10,423.20 and 4,409.20 is: 6,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,553.20 : 10,423.20 = 4,409.20 : x
  2. Step 2: Convert to fraction form
    7,553.20/10,423.20 = 4,409.20/x
  3. Step 3: Cross multiply
    7,553.20x = 10,423.20 × 4,409.20
  4. Step 4: Simplify right side
    7,553.20x = 45,957,973.44
  5. Step 5: Solve for x
    x = 45,957,973.44/7,553.20
  6. Step 6: Final answer
    x = 6,084.57

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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.