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Finding the Fourth Proportional to 7,998.69, 11,040.51 and 4,642.26

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Solution

The fourth proportional to 7,998.69, 11,040.51 and 4,642.26 is: 6,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.69 : 11,040.51 = 4,642.26 : x
  2. Step 2: Convert to fraction form
    7,998.69/11,040.51 = 4,642.26/x
  3. Step 3: Cross multiply
    7,998.69x = 11,040.51 × 4,642.26
  4. Step 4: Simplify right side
    7,998.69x = 51,252,917.95
  5. Step 5: Solve for x
    x = 51,252,917.95/7,998.69
  6. Step 6: Final answer
    x = 6,407.66

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.