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Finding the Fourth Proportional to 7,525.38, 10,384.86 and 4,168

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Solution

The fourth proportional to 7,525.38, 10,384.86 and 4,168 is: 5,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.38 : 10,384.86 = 4,168 : x
  2. Step 2: Convert to fraction form
    7,525.38/10,384.86 = 4,168/x
  3. Step 3: Cross multiply
    7,525.38x = 10,384.86 × 4,168
  4. Step 4: Simplify right side
    7,525.38x = 43,284,096.48
  5. Step 5: Solve for x
    x = 43,284,096.48/7,525.38
  6. Step 6: Final answer
    x = 5,751.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.