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Finding the Fourth Proportional to 14,361.16, 21,541.54 and 5,001

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Solution

The fourth proportional to 14,361.16, 21,541.54 and 5,001 is: 7,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.16 : 21,541.54 = 5,001 : x
  2. Step 2: Convert to fraction form
    14,361.16/21,541.54 = 5,001/x
  3. Step 3: Cross multiply
    14,361.16x = 21,541.54 × 5,001
  4. Step 4: Simplify right side
    14,361.16x = 107,729,216.54
  5. Step 5: Solve for x
    x = 107,729,216.54/14,361.16
  6. Step 6: Final answer
    x = 7,501.43

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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.