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Finding the Fourth Proportional to 4,803.13, 7,192.23 and 4,114.23

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Solution

The fourth proportional to 4,803.13, 7,192.23 and 4,114.23 is: 6,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.13 : 7,192.23 = 4,114.23 : x
  2. Step 2: Convert to fraction form
    4,803.13/7,192.23 = 4,114.23/x
  3. Step 3: Cross multiply
    4,803.13x = 7,192.23 × 4,114.23
  4. Step 4: Simplify right side
    4,803.13x = 29,590,488.43
  5. Step 5: Solve for x
    x = 29,590,488.43/4,803.13
  6. Step 6: Final answer
    x = 6,160.67

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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.