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Finding the Fourth Proportional to 7,187, 9,912.48 and 4,533.44

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Solution

The fourth proportional to 7,187, 9,912.48 and 4,533.44 is: 6,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187 : 9,912.48 = 4,533.44 : x
  2. Step 2: Convert to fraction form
    7,187/9,912.48 = 4,533.44/x
  3. Step 3: Cross multiply
    7,187x = 9,912.48 × 4,533.44
  4. Step 4: Simplify right side
    7,187x = 44,937,633.33
  5. Step 5: Solve for x
    x = 44,937,633.33/7,187
  6. Step 6: Final answer
    x = 6,252.63

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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.