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Finding the Fourth Proportional to 7,804.69, 11,707.06 and 1,961.30

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Solution

The fourth proportional to 7,804.69, 11,707.06 and 1,961.30 is: 2,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.69 : 11,707.06 = 1,961.30 : x
  2. Step 2: Convert to fraction form
    7,804.69/11,707.06 = 1,961.30/x
  3. Step 3: Cross multiply
    7,804.69x = 11,707.06 × 1,961.30
  4. Step 4: Simplify right side
    7,804.69x = 22,961,056.78
  5. Step 5: Solve for x
    x = 22,961,056.78/7,804.69
  6. Step 6: Final answer
    x = 2,941.96

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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.