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Finding the Fourth Proportional to 8,442.93, 11,651.40 and 4,666.32

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Solution

The fourth proportional to 8,442.93, 11,651.40 and 4,666.32 is: 6,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.93 : 11,651.40 = 4,666.32 : x
  2. Step 2: Convert to fraction form
    8,442.93/11,651.40 = 4,666.32/x
  3. Step 3: Cross multiply
    8,442.93x = 11,651.40 × 4,666.32
  4. Step 4: Simplify right side
    8,442.93x = 54,369,160.85
  5. Step 5: Solve for x
    x = 54,369,160.85/8,442.93
  6. Step 6: Final answer
    x = 6,439.61

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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.