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Finding the Fourth Proportional to 7,841.00, 11,760.14 and 2,842.34

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Solution

The fourth proportional to 7,841.00, 11,760.14 and 2,842.34 is: 4,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.00 : 11,760.14 = 2,842.34 : x
  2. Step 2: Convert to fraction form
    7,841.00/11,760.14 = 2,842.34/x
  3. Step 3: Cross multiply
    7,841.00x = 11,760.14 × 2,842.34
  4. Step 4: Simplify right side
    7,841.00x = 33,426,314.80
  5. Step 5: Solve for x
    x = 33,426,314.80/7,841.00
  6. Step 6: Final answer
    x = 4,263.02

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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.