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Finding the Fourth Proportional to 25,250.32, 37,880.44 and 7,722.64

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Solution

The fourth proportional to 25,250.32, 37,880.44 and 7,722.64 is: 11,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,250.32 : 37,880.44 = 7,722.64 : x
  2. Step 2: Convert to fraction form
    25,250.32/37,880.44 = 7,722.64/x
  3. Step 3: Cross multiply
    25,250.32x = 37,880.44 × 7,722.64
  4. Step 4: Simplify right side
    25,250.32x = 292,537,001.16
  5. Step 5: Solve for x
    x = 292,537,001.16/25,250.32
  6. Step 6: Final answer
    x = 11,585.48

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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.