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Finding the Fourth Proportional to 14,527, 21,790.50 and 3,583

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Solution

The fourth proportional to 14,527, 21,790.50 and 3,583 is: 5,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527 : 21,790.50 = 3,583 : x
  2. Step 2: Convert to fraction form
    14,527/21,790.50 = 3,583/x
  3. Step 3: Cross multiply
    14,527x = 21,790.50 × 3,583
  4. Step 4: Simplify right side
    14,527x = 78,075,361.50
  5. Step 5: Solve for x
    x = 78,075,361.50/14,527
  6. Step 6: Final answer
    x = 5,374.50

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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.