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Finding the Fourth Proportional to 25,283, 37,924.36 and 6,563.02

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Solution

The fourth proportional to 25,283, 37,924.36 and 6,563.02 is: 9,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,283 : 37,924.36 = 6,563.02 : x
  2. Step 2: Convert to fraction form
    25,283/37,924.36 = 6,563.02/x
  3. Step 3: Cross multiply
    25,283x = 37,924.36 × 6,563.02
  4. Step 4: Simplify right side
    25,283x = 248,898,333.17
  5. Step 5: Solve for x
    x = 248,898,333.17/25,283
  6. Step 6: Final answer
    x = 9,844.49

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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.