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Finding the Fourth Proportional to 7,831.22, 10,807.02 and 4,294.42

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Solution

The fourth proportional to 7,831.22, 10,807.02 and 4,294.42 is: 5,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.22 : 10,807.02 = 4,294.42 : x
  2. Step 2: Convert to fraction form
    7,831.22/10,807.02 = 4,294.42/x
  3. Step 3: Cross multiply
    7,831.22x = 10,807.02 × 4,294.42
  4. Step 4: Simplify right side
    7,831.22x = 46,409,882.83
  5. Step 5: Solve for x
    x = 46,409,882.83/7,831.22
  6. Step 6: Final answer
    x = 5,926.26

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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.