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Finding the Fourth Proportional to 5,471.76, 7,550.64 and 4,295.64

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Solution

The fourth proportional to 5,471.76, 7,550.64 and 4,295.64 is: 5,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.76 : 7,550.64 = 4,295.64 : x
  2. Step 2: Convert to fraction form
    5,471.76/7,550.64 = 4,295.64/x
  3. Step 3: Cross multiply
    5,471.76x = 7,550.64 × 4,295.64
  4. Step 4: Simplify right side
    5,471.76x = 32,434,831.21
  5. Step 5: Solve for x
    x = 32,434,831.21/5,471.76
  6. Step 6: Final answer
    x = 5,927.68

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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.