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Finding the Fourth Proportional to 7,810.59, 11,713.86 and 2,262.63

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Solution

The fourth proportional to 7,810.59, 11,713.86 and 2,262.63 is: 3,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.59 : 11,713.86 = 2,262.63 : x
  2. Step 2: Convert to fraction form
    7,810.59/11,713.86 = 2,262.63/x
  3. Step 3: Cross multiply
    7,810.59x = 11,713.86 × 2,262.63
  4. Step 4: Simplify right side
    7,810.59x = 26,504,131.05
  5. Step 5: Solve for x
    x = 26,504,131.05/7,810.59
  6. Step 6: Final answer
    x = 3,393.36

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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.