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Finding the Fourth Proportional to 4,823.79, 7,236.21 and 1,536.12

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Solution

The fourth proportional to 4,823.79, 7,236.21 and 1,536.12 is: 2,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.79 : 7,236.21 = 1,536.12 : x
  2. Step 2: Convert to fraction form
    4,823.79/7,236.21 = 1,536.12/x
  3. Step 3: Cross multiply
    4,823.79x = 7,236.21 × 1,536.12
  4. Step 4: Simplify right side
    4,823.79x = 11,115,686.91
  5. Step 5: Solve for x
    x = 11,115,686.91/4,823.79
  6. Step 6: Final answer
    x = 2,304.35

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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.