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Finding the Fourth Proportional to 9,347.05, 14,020.24 and 3,800.24

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Solution

The fourth proportional to 9,347.05, 14,020.24 and 3,800.24 is: 5,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.05 : 14,020.24 = 3,800.24 : x
  2. Step 2: Convert to fraction form
    9,347.05/14,020.24 = 3,800.24/x
  3. Step 3: Cross multiply
    9,347.05x = 14,020.24 × 3,800.24
  4. Step 4: Simplify right side
    9,347.05x = 53,280,276.86
  5. Step 5: Solve for x
    x = 53,280,276.86/9,347.05
  6. Step 6: Final answer
    x = 5,700.22

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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.