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Finding the Fourth Proportional to 8,281.53, 12,418.16 and 3,536.93

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Solution

The fourth proportional to 8,281.53, 12,418.16 and 3,536.93 is: 5,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.53 : 12,418.16 = 3,536.93 : x
  2. Step 2: Convert to fraction form
    8,281.53/12,418.16 = 3,536.93/x
  3. Step 3: Cross multiply
    8,281.53x = 12,418.16 × 3,536.93
  4. Step 4: Simplify right side
    8,281.53x = 43,922,082.87
  5. Step 5: Solve for x
    x = 43,922,082.87/8,281.53
  6. Step 6: Final answer
    x = 5,303.62

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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.