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Finding the Fourth Proportional to 8,597.30, 12,895.12 and 2,357.06

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Solution

The fourth proportional to 8,597.30, 12,895.12 and 2,357.06 is: 3,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.30 : 12,895.12 = 2,357.06 : x
  2. Step 2: Convert to fraction form
    8,597.30/12,895.12 = 2,357.06/x
  3. Step 3: Cross multiply
    8,597.30x = 12,895.12 × 2,357.06
  4. Step 4: Simplify right side
    8,597.30x = 30,394,571.55
  5. Step 5: Solve for x
    x = 30,394,571.55/8,597.30
  6. Step 6: Final answer
    x = 3,535.36

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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.