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Finding the Fourth Proportional to 7,225.92, 10,846.12 and 4,878.48

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Solution

The fourth proportional to 7,225.92, 10,846.12 and 4,878.48 is: 7,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.92 : 10,846.12 = 4,878.48 : x
  2. Step 2: Convert to fraction form
    7,225.92/10,846.12 = 4,878.48/x
  3. Step 3: Cross multiply
    7,225.92x = 10,846.12 × 4,878.48
  4. Step 4: Simplify right side
    7,225.92x = 52,912,579.50
  5. Step 5: Solve for x
    x = 52,912,579.50/7,225.92
  6. Step 6: Final answer
    x = 7,322.61

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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.