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Finding the Fourth Proportional to 9,842.67, 14,763.60 and 2,447.01

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Solution

The fourth proportional to 9,842.67, 14,763.60 and 2,447.01 is: 3,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.67 : 14,763.60 = 2,447.01 : x
  2. Step 2: Convert to fraction form
    9,842.67/14,763.60 = 2,447.01/x
  3. Step 3: Cross multiply
    9,842.67x = 14,763.60 × 2,447.01
  4. Step 4: Simplify right side
    9,842.67x = 36,126,676.84
  5. Step 5: Solve for x
    x = 36,126,676.84/9,842.67
  6. Step 6: Final answer
    x = 3,670.41

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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.