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Finding the Fourth Proportional to 7,831.21, 10,807.07 and 4,294.50

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Solution

The fourth proportional to 7,831.21, 10,807.07 and 4,294.50 is: 5,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.21 : 10,807.07 = 4,294.50 : x
  2. Step 2: Convert to fraction form
    7,831.21/10,807.07 = 4,294.50/x
  3. Step 3: Cross multiply
    7,831.21x = 10,807.07 × 4,294.50
  4. Step 4: Simplify right side
    7,831.21x = 46,410,900.12
  5. Step 5: Solve for x
    x = 46,410,900.12/7,831.21
  6. Step 6: Final answer
    x = 5,926.40

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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.