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Finding the Fourth Proportional to 10,590.64, 14,614.86 and 5,874.88

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Solution

The fourth proportional to 10,590.64, 14,614.86 and 5,874.88 is: 8,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.64 : 14,614.86 = 5,874.88 : x
  2. Step 2: Convert to fraction form
    10,590.64/14,614.86 = 5,874.88/x
  3. Step 3: Cross multiply
    10,590.64x = 14,614.86 × 5,874.88
  4. Step 4: Simplify right side
    10,590.64x = 85,860,548.72
  5. Step 5: Solve for x
    x = 85,860,548.72/10,590.64
  6. Step 6: Final answer
    x = 8,107.21

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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.