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Finding the Fourth Proportional to 7,831.97, 10,808.12 and 4,295.19

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Solution

The fourth proportional to 7,831.97, 10,808.12 and 4,295.19 is: 5,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.97 : 10,808.12 = 4,295.19 : x
  2. Step 2: Convert to fraction form
    7,831.97/10,808.12 = 4,295.19/x
  3. Step 3: Cross multiply
    7,831.97x = 10,808.12 × 4,295.19
  4. Step 4: Simplify right side
    7,831.97x = 46,422,980.21
  5. Step 5: Solve for x
    x = 46,422,980.21/7,831.97
  6. Step 6: Final answer
    x = 5,927.37

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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.