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Finding the Fourth Proportional to 7,297.40, 10,069.86 and 4,153.64

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Solution

The fourth proportional to 7,297.40, 10,069.86 and 4,153.64 is: 5,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.40 : 10,069.86 = 4,153.64 : x
  2. Step 2: Convert to fraction form
    7,297.40/10,069.86 = 4,153.64/x
  3. Step 3: Cross multiply
    7,297.40x = 10,069.86 × 4,153.64
  4. Step 4: Simplify right side
    7,297.40x = 41,826,573.29
  5. Step 5: Solve for x
    x = 41,826,573.29/7,297.40
  6. Step 6: Final answer
    x = 5,731.71

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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.