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Finding the Fourth Proportional to 5,831.39, 8,746.67 and 1,448.84

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Solution

The fourth proportional to 5,831.39, 8,746.67 and 1,448.84 is: 2,173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.39 : 8,746.67 = 1,448.84 : x
  2. Step 2: Convert to fraction form
    5,831.39/8,746.67 = 1,448.84/x
  3. Step 3: Cross multiply
    5,831.39x = 8,746.67 × 1,448.84
  4. Step 4: Simplify right side
    5,831.39x = 12,672,525.36
  5. Step 5: Solve for x
    x = 12,672,525.36/5,831.39
  6. Step 6: Final answer
    x = 2,173.16

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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.