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Finding the Fourth Proportional to 6,831.71, 9,431.85 and 4,477.95

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Solution

The fourth proportional to 6,831.71, 9,431.85 and 4,477.95 is: 6,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.71 : 9,431.85 = 4,477.95 : x
  2. Step 2: Convert to fraction form
    6,831.71/9,431.85 = 4,477.95/x
  3. Step 3: Cross multiply
    6,831.71x = 9,431.85 × 4,477.95
  4. Step 4: Simplify right side
    6,831.71x = 42,235,369.50
  5. Step 5: Solve for x
    x = 42,235,369.50/6,831.71
  6. Step 6: Final answer
    x = 6,182.26

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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.