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Finding the Fourth Proportional to 25,312.24, 37,968.04 and 6,844.24

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Solution

The fourth proportional to 25,312.24, 37,968.04 and 6,844.24 is: 10,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.24 : 37,968.04 = 6,844.24 : x
  2. Step 2: Convert to fraction form
    25,312.24/37,968.04 = 6,844.24/x
  3. Step 3: Cross multiply
    25,312.24x = 37,968.04 × 6,844.24
  4. Step 4: Simplify right side
    25,312.24x = 259,862,378.09
  5. Step 5: Solve for x
    x = 259,862,378.09/25,312.24
  6. Step 6: Final answer
    x = 10,266.27

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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.