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Finding the Fourth Proportional to 25,322.56, 37,968 and 9,721.60

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Solution

The fourth proportional to 25,322.56, 37,968 and 9,721.60 is: 14,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,322.56 : 37,968 = 9,721.60 : x
  2. Step 2: Convert to fraction form
    25,322.56/37,968 = 9,721.60/x
  3. Step 3: Cross multiply
    25,322.56x = 37,968 × 9,721.60
  4. Step 4: Simplify right side
    25,322.56x = 369,109,708.80
  5. Step 5: Solve for x
    x = 369,109,708.80/25,322.56
  6. Step 6: Final answer
    x = 14,576.32

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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.