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Finding the Fourth Proportional to 7,831.84, 10,807.26 and 4,473.98

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Solution

The fourth proportional to 7,831.84, 10,807.26 and 4,473.98 is: 6,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.84 : 10,807.26 = 4,473.98 : x
  2. Step 2: Convert to fraction form
    7,831.84/10,807.26 = 4,473.98/x
  3. Step 3: Cross multiply
    7,831.84x = 10,807.26 × 4,473.98
  4. Step 4: Simplify right side
    7,831.84x = 48,351,465.09
  5. Step 5: Solve for x
    x = 48,351,465.09/7,831.84
  6. Step 6: Final answer
    x = 6,173.70

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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.