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Finding the Fourth Proportional to 9,852.57, 14,770.54 and 4,584.86

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Solution

The fourth proportional to 9,852.57, 14,770.54 and 4,584.86 is: 6,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.57 : 14,770.54 = 4,584.86 : x
  2. Step 2: Convert to fraction form
    9,852.57/14,770.54 = 4,584.86/x
  3. Step 3: Cross multiply
    9,852.57x = 14,770.54 × 4,584.86
  4. Step 4: Simplify right side
    9,852.57x = 67,720,858.02
  5. Step 5: Solve for x
    x = 67,720,858.02/9,852.57
  6. Step 6: Final answer
    x = 6,873.42

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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.