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Finding the Fourth Proportional to 9,761.51, 14,642.21 and 2,741.53

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Solution

The fourth proportional to 9,761.51, 14,642.21 and 2,741.53 is: 4,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.51 : 14,642.21 = 2,741.53 : x
  2. Step 2: Convert to fraction form
    9,761.51/14,642.21 = 2,741.53/x
  3. Step 3: Cross multiply
    9,761.51x = 14,642.21 × 2,741.53
  4. Step 4: Simplify right side
    9,761.51x = 40,141,984.77
  5. Step 5: Solve for x
    x = 40,141,984.77/9,761.51
  6. Step 6: Final answer
    x = 4,112.27

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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.