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Finding the Fourth Proportional to 12,597.24, 18,903.16 and 6,357.74

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Solution

The fourth proportional to 12,597.24, 18,903.16 and 6,357.74 is: 9,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.24 : 18,903.16 = 6,357.74 : x
  2. Step 2: Convert to fraction form
    12,597.24/18,903.16 = 6,357.74/x
  3. Step 3: Cross multiply
    12,597.24x = 18,903.16 × 6,357.74
  4. Step 4: Simplify right side
    12,597.24x = 120,181,250.15
  5. Step 5: Solve for x
    x = 120,181,250.15/12,597.24
  6. Step 6: Final answer
    x = 9,540.29

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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.