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Finding the Fourth Proportional to 9,761.51, 14,614.22 and 5,746.75

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Solution

The fourth proportional to 9,761.51, 14,614.22 and 5,746.75 is: 8,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.51 : 14,614.22 = 5,746.75 : x
  2. Step 2: Convert to fraction form
    9,761.51/14,614.22 = 5,746.75/x
  3. Step 3: Cross multiply
    9,761.51x = 14,614.22 × 5,746.75
  4. Step 4: Simplify right side
    9,761.51x = 83,984,246.62
  5. Step 5: Solve for x
    x = 83,984,246.62/9,761.51
  6. Step 6: Final answer
    x = 8,603.61

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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.