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Finding the Fourth Proportional to 10,847.81, 14,978.46 and 8,325.92

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Solution

The fourth proportional to 10,847.81, 14,978.46 and 8,325.92 is: 11,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.81 : 14,978.46 = 8,325.92 : x
  2. Step 2: Convert to fraction form
    10,847.81/14,978.46 = 8,325.92/x
  3. Step 3: Cross multiply
    10,847.81x = 14,978.46 × 8,325.92
  4. Step 4: Simplify right side
    10,847.81x = 124,709,459.68
  5. Step 5: Solve for x
    x = 124,709,459.68/10,847.81
  6. Step 6: Final answer
    x = 11,496.28

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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.