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Finding the Fourth Proportional to 7,804.92, 11,709.60 and 4,106.28

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Solution

The fourth proportional to 7,804.92, 11,709.60 and 4,106.28 is: 6,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.92 : 11,709.60 = 4,106.28 : x
  2. Step 2: Convert to fraction form
    7,804.92/11,709.60 = 4,106.28/x
  3. Step 3: Cross multiply
    7,804.92x = 11,709.60 × 4,106.28
  4. Step 4: Simplify right side
    7,804.92x = 48,082,896.29
  5. Step 5: Solve for x
    x = 48,082,896.29/7,804.92
  6. Step 6: Final answer
    x = 6,160.59

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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.