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Finding the Fourth Proportional to 7,105.10, 9,804.86 and 4,453.96

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Solution

The fourth proportional to 7,105.10, 9,804.86 and 4,453.96 is: 6,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.10 : 9,804.86 = 4,453.96 : x
  2. Step 2: Convert to fraction form
    7,105.10/9,804.86 = 4,453.96/x
  3. Step 3: Cross multiply
    7,105.10x = 9,804.86 × 4,453.96
  4. Step 4: Simplify right side
    7,105.10x = 43,670,454.25
  5. Step 5: Solve for x
    x = 43,670,454.25/7,105.10
  6. Step 6: Final answer
    x = 6,146.35

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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.