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Finding the Fourth Proportional to 7,831.51, 10,806.78 and 4,474.32

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Solution

The fourth proportional to 7,831.51, 10,806.78 and 4,474.32 is: 6,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.51 : 10,806.78 = 4,474.32 : x
  2. Step 2: Convert to fraction form
    7,831.51/10,806.78 = 4,474.32/x
  3. Step 3: Cross multiply
    7,831.51x = 10,806.78 × 4,474.32
  4. Step 4: Simplify right side
    7,831.51x = 48,352,991.89
  5. Step 5: Solve for x
    x = 48,352,991.89/7,831.51
  6. Step 6: Final answer
    x = 6,174.16

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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.