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Finding the Fourth Proportional to 6,030.24, 9,033 and 3,682.86

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Solution

The fourth proportional to 6,030.24, 9,033 and 3,682.86 is: 5,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.24 : 9,033 = 3,682.86 : x
  2. Step 2: Convert to fraction form
    6,030.24/9,033 = 3,682.86/x
  3. Step 3: Cross multiply
    6,030.24x = 9,033 × 3,682.86
  4. Step 4: Simplify right side
    6,030.24x = 33,267,274.38
  5. Step 5: Solve for x
    x = 33,267,274.38/6,030.24
  6. Step 6: Final answer
    x = 5,516.74

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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.