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Finding the Fourth Proportional to 7,029.72, 10,546.74 and 4,113.72

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Solution

The fourth proportional to 7,029.72, 10,546.74 and 4,113.72 is: 6,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.72 : 10,546.74 = 4,113.72 : x
  2. Step 2: Convert to fraction form
    7,029.72/10,546.74 = 4,113.72/x
  3. Step 3: Cross multiply
    7,029.72x = 10,546.74 × 4,113.72
  4. Step 4: Simplify right side
    7,029.72x = 43,386,335.27
  5. Step 5: Solve for x
    x = 43,386,335.27/7,029.72
  6. Step 6: Final answer
    x = 6,171.84

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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.