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Finding the Fourth Proportional to 7,104.71, 9,804.47 and 3,917.92

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Solution

The fourth proportional to 7,104.71, 9,804.47 and 3,917.92 is: 5,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.71 : 9,804.47 = 3,917.92 : x
  2. Step 2: Convert to fraction form
    7,104.71/9,804.47 = 3,917.92/x
  3. Step 3: Cross multiply
    7,104.71x = 9,804.47 × 3,917.92
  4. Step 4: Simplify right side
    7,104.71x = 38,413,114.40
  5. Step 5: Solve for x
    x = 38,413,114.40/7,104.71
  6. Step 6: Final answer
    x = 5,406.71

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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.