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Finding the Fourth Proportional to 7,423.02, 10,239.03 and 5,184.06

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Solution

The fourth proportional to 7,423.02, 10,239.03 and 5,184.06 is: 7,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.02 : 10,239.03 = 5,184.06 : x
  2. Step 2: Convert to fraction form
    7,423.02/10,239.03 = 5,184.06/x
  3. Step 3: Cross multiply
    7,423.02x = 10,239.03 × 5,184.06
  4. Step 4: Simplify right side
    7,423.02x = 53,079,745.86
  5. Step 5: Solve for x
    x = 53,079,745.86/7,423.02
  6. Step 6: Final answer
    x = 7,150.69

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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.