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Finding the Fourth Proportional to 5,597.44, 7,724.64 and 4,197.76

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Solution

The fourth proportional to 5,597.44, 7,724.64 and 4,197.76 is: 5,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.44 : 7,724.64 = 4,197.76 : x
  2. Step 2: Convert to fraction form
    5,597.44/7,724.64 = 4,197.76/x
  3. Step 3: Cross multiply
    5,597.44x = 7,724.64 × 4,197.76
  4. Step 4: Simplify right side
    5,597.44x = 32,426,184.81
  5. Step 5: Solve for x
    x = 32,426,184.81/5,597.44
  6. Step 6: Final answer
    x = 5,793.04

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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.