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Finding the Fourth Proportional to 13,153.42, 19,737.42 and 5,361.63

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Solution

The fourth proportional to 13,153.42, 19,737.42 and 5,361.63 is: 8,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.42 : 19,737.42 = 5,361.63 : x
  2. Step 2: Convert to fraction form
    13,153.42/19,737.42 = 5,361.63/x
  3. Step 3: Cross multiply
    13,153.42x = 19,737.42 × 5,361.63
  4. Step 4: Simplify right side
    13,153.42x = 105,824,743.19
  5. Step 5: Solve for x
    x = 105,824,743.19/13,153.42
  6. Step 6: Final answer
    x = 8,045.42

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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.