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Finding the Fourth Proportional to 5,623.92, 8,423.12 and 4,509.46

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Solution

The fourth proportional to 5,623.92, 8,423.12 and 4,509.46 is: 6,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.92 : 8,423.12 = 4,509.46 : x
  2. Step 2: Convert to fraction form
    5,623.92/8,423.12 = 4,509.46/x
  3. Step 3: Cross multiply
    5,623.92x = 8,423.12 × 4,509.46
  4. Step 4: Simplify right side
    5,623.92x = 37,983,722.72
  5. Step 5: Solve for x
    x = 37,983,722.72/5,623.92
  6. Step 6: Final answer
    x = 6,753.96

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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.