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Finding the Fourth Proportional to 4,602.56, 6,903.72 and 1,524.56

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Solution

The fourth proportional to 4,602.56, 6,903.72 and 1,524.56 is: 2,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.56 : 6,903.72 = 1,524.56 : x
  2. Step 2: Convert to fraction form
    4,602.56/6,903.72 = 1,524.56/x
  3. Step 3: Cross multiply
    4,602.56x = 6,903.72 × 1,524.56
  4. Step 4: Simplify right side
    4,602.56x = 10,525,135.36
  5. Step 5: Solve for x
    x = 10,525,135.36/4,602.56
  6. Step 6: Final answer
    x = 2,286.80

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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.