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Finding the Fourth Proportional to 14,590.75, 21,883.74 and 5,229.16

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Solution

The fourth proportional to 14,590.75, 21,883.74 and 5,229.16 is: 7,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.75 : 21,883.74 = 5,229.16 : x
  2. Step 2: Convert to fraction form
    14,590.75/21,883.74 = 5,229.16/x
  3. Step 3: Cross multiply
    14,590.75x = 21,883.74 × 5,229.16
  4. Step 4: Simplify right side
    14,590.75x = 114,433,577.86
  5. Step 5: Solve for x
    x = 114,433,577.86/14,590.75
  6. Step 6: Final answer
    x = 7,842.89

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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.