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Finding the Fourth Proportional to 7,093.10, 9,784.17 and 4,438.32

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Solution

The fourth proportional to 7,093.10, 9,784.17 and 4,438.32 is: 6,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.10 : 9,784.17 = 4,438.32 : x
  2. Step 2: Convert to fraction form
    7,093.10/9,784.17 = 4,438.32/x
  3. Step 3: Cross multiply
    7,093.10x = 9,784.17 × 4,438.32
  4. Step 4: Simplify right side
    7,093.10x = 43,425,277.39
  5. Step 5: Solve for x
    x = 43,425,277.39/7,093.10
  6. Step 6: Final answer
    x = 6,122.19

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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.