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Finding the Fourth Proportional to 9,600.75, 14,407.66 and 5,891.66

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Solution

The fourth proportional to 9,600.75, 14,407.66 and 5,891.66 is: 8,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.75 : 14,407.66 = 5,891.66 : x
  2. Step 2: Convert to fraction form
    9,600.75/14,407.66 = 5,891.66/x
  3. Step 3: Cross multiply
    9,600.75x = 14,407.66 × 5,891.66
  4. Step 4: Simplify right side
    9,600.75x = 84,885,055.71
  5. Step 5: Solve for x
    x = 84,885,055.71/9,600.75
  6. Step 6: Final answer
    x = 8,841.50

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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.