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Finding the Fourth Proportional to 9,761.60, 14,641.68 and 2,835.68

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Solution

The fourth proportional to 9,761.60, 14,641.68 and 2,835.68 is: 4,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.60 : 14,641.68 = 2,835.68 : x
  2. Step 2: Convert to fraction form
    9,761.60/14,641.68 = 2,835.68/x
  3. Step 3: Cross multiply
    9,761.60x = 14,641.68 × 2,835.68
  4. Step 4: Simplify right side
    9,761.60x = 41,519,119.14
  5. Step 5: Solve for x
    x = 41,519,119.14/9,761.60
  6. Step 6: Final answer
    x = 4,253.31

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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.