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Finding the Fourth Proportional to 9,842.84, 14,770.41 and 3,999.45

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Solution

The fourth proportional to 9,842.84, 14,770.41 and 3,999.45 is: 6,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.84 : 14,770.41 = 3,999.45 : x
  2. Step 2: Convert to fraction form
    9,842.84/14,770.41 = 3,999.45/x
  3. Step 3: Cross multiply
    9,842.84x = 14,770.41 × 3,999.45
  4. Step 4: Simplify right side
    9,842.84x = 59,073,543.24
  5. Step 5: Solve for x
    x = 59,073,543.24/9,842.84
  6. Step 6: Final answer
    x = 6,001.68

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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.