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Finding the Fourth Proportional to 15,896, 23,844 and 4,952

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Solution

The fourth proportional to 15,896, 23,844 and 4,952 is: 7,428

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896 : 23,844 = 4,952 : x
  2. Step 2: Convert to fraction form
    15,896/23,844 = 4,952/x
  3. Step 3: Cross multiply
    15,896x = 23,844 × 4,952
  4. Step 4: Simplify right side
    15,896x = 118,075,488
  5. Step 5: Solve for x
    x = 118,075,488/15,896
  6. Step 6: Final answer
    x = 7,428

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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.