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Finding the Fourth Proportional to 8,442.81, 11,651.06 and 4,716.81

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Solution

The fourth proportional to 8,442.81, 11,651.06 and 4,716.81 is: 6,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.81 : 11,651.06 = 4,716.81 : x
  2. Step 2: Convert to fraction form
    8,442.81/11,651.06 = 4,716.81/x
  3. Step 3: Cross multiply
    8,442.81x = 11,651.06 × 4,716.81
  4. Step 4: Simplify right side
    8,442.81x = 54,955,812.73
  5. Step 5: Solve for x
    x = 54,955,812.73/8,442.81
  6. Step 6: Final answer
    x = 6,509.19

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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.