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Finding the Fourth Proportional to 6,831.04, 9,427.01 and 3,846.98

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Solution

The fourth proportional to 6,831.04, 9,427.01 and 3,846.98 is: 5,308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.04 : 9,427.01 = 3,846.98 : x
  2. Step 2: Convert to fraction form
    6,831.04/9,427.01 = 3,846.98/x
  3. Step 3: Cross multiply
    6,831.04x = 9,427.01 × 3,846.98
  4. Step 4: Simplify right side
    6,831.04x = 36,265,462.18
  5. Step 5: Solve for x
    x = 36,265,462.18/6,831.04
  6. Step 6: Final answer
    x = 5,308.92

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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.