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Finding the Fourth Proportional to 14,283, 21,424.50 and 6,075

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Solution

The fourth proportional to 14,283, 21,424.50 and 6,075 is: 9,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283 : 21,424.50 = 6,075 : x
  2. Step 2: Convert to fraction form
    14,283/21,424.50 = 6,075/x
  3. Step 3: Cross multiply
    14,283x = 21,424.50 × 6,075
  4. Step 4: Simplify right side
    14,283x = 130,153,837.50
  5. Step 5: Solve for x
    x = 130,153,837.50/14,283
  6. Step 6: Final answer
    x = 9,112.50

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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.