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Finding the Fourth Proportional to 23,386.81, 35,080.26 and 7,804.48

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Solution

The fourth proportional to 23,386.81, 35,080.26 and 7,804.48 is: 11,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,386.81 : 35,080.26 = 7,804.48 : x
  2. Step 2: Convert to fraction form
    23,386.81/35,080.26 = 7,804.48/x
  3. Step 3: Cross multiply
    23,386.81x = 35,080.26 × 7,804.48
  4. Step 4: Simplify right side
    23,386.81x = 273,783,187.56
  5. Step 5: Solve for x
    x = 273,783,187.56/23,386.81
  6. Step 6: Final answer
    x = 11,706.74

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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.