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Finding the Fourth Proportional to 25,252.42, 37,878.72 and 7,722.22

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Solution

The fourth proportional to 25,252.42, 37,878.72 and 7,722.22 is: 11,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,252.42 : 37,878.72 = 7,722.22 : x
  2. Step 2: Convert to fraction form
    25,252.42/37,878.72 = 7,722.22/x
  3. Step 3: Cross multiply
    25,252.42x = 37,878.72 × 7,722.22
  4. Step 4: Simplify right side
    25,252.42x = 292,507,809.16
  5. Step 5: Solve for x
    x = 292,507,809.16/25,252.42
  6. Step 6: Final answer
    x = 11,583.36

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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.