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Finding the Fourth Proportional to 7,862.09, 11,795.04 and 2,597.22

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Solution

The fourth proportional to 7,862.09, 11,795.04 and 2,597.22 is: 3,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.09 : 11,795.04 = 2,597.22 : x
  2. Step 2: Convert to fraction form
    7,862.09/11,795.04 = 2,597.22/x
  3. Step 3: Cross multiply
    7,862.09x = 11,795.04 × 2,597.22
  4. Step 4: Simplify right side
    7,862.09x = 30,634,313.79
  5. Step 5: Solve for x
    x = 30,634,313.79/7,862.09
  6. Step 6: Final answer
    x = 3,896.46

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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.