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Finding the Fourth Proportional to 5,224.37, 7,831.06 and 1,713.47

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Solution

The fourth proportional to 5,224.37, 7,831.06 and 1,713.47 is: 2,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.37 : 7,831.06 = 1,713.47 : x
  2. Step 2: Convert to fraction form
    5,224.37/7,831.06 = 1,713.47/x
  3. Step 3: Cross multiply
    5,224.37x = 7,831.06 × 1,713.47
  4. Step 4: Simplify right side
    5,224.37x = 13,418,242.94
  5. Step 5: Solve for x
    x = 13,418,242.94/5,224.37
  6. Step 6: Final answer
    x = 2,568.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.