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Finding the Fourth Proportional to 6,831.76, 9,408 and 5,935.10

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Solution

The fourth proportional to 6,831.76, 9,408 and 5,935.10 is: 8,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.76 : 9,408 = 5,935.10 : x
  2. Step 2: Convert to fraction form
    6,831.76/9,408 = 5,935.10/x
  3. Step 3: Cross multiply
    6,831.76x = 9,408 × 5,935.10
  4. Step 4: Simplify right side
    6,831.76x = 55,837,420.80
  5. Step 5: Solve for x
    x = 55,837,420.80/6,831.76
  6. Step 6: Final answer
    x = 8,173.21

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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.