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Finding the Fourth Proportional to 8,597.34, 12,896.40 and 2,357.22

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Solution

The fourth proportional to 8,597.34, 12,896.40 and 2,357.22 is: 3,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.34 : 12,896.40 = 2,357.22 : x
  2. Step 2: Convert to fraction form
    8,597.34/12,896.40 = 2,357.22/x
  3. Step 3: Cross multiply
    8,597.34x = 12,896.40 × 2,357.22
  4. Step 4: Simplify right side
    8,597.34x = 30,399,652.01
  5. Step 5: Solve for x
    x = 30,399,652.01/8,597.34
  6. Step 6: Final answer
    x = 3,535.94

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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.