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Finding the Fourth Proportional to 7,093.14, 9,788.22 and 4,734.96

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Solution

The fourth proportional to 7,093.14, 9,788.22 and 4,734.96 is: 6,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.14 : 9,788.22 = 4,734.96 : x
  2. Step 2: Convert to fraction form
    7,093.14/9,788.22 = 4,734.96/x
  3. Step 3: Cross multiply
    7,093.14x = 9,788.22 × 4,734.96
  4. Step 4: Simplify right side
    7,093.14x = 46,346,830.17
  5. Step 5: Solve for x
    x = 46,346,830.17/7,093.14
  6. Step 6: Final answer
    x = 6,534.04

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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.