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Finding the Fourth Proportional to 9,407.69, 14,112.99 and 3,167.22

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Solution

The fourth proportional to 9,407.69, 14,112.99 and 3,167.22 is: 4,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.69 : 14,112.99 = 3,167.22 : x
  2. Step 2: Convert to fraction form
    9,407.69/14,112.99 = 3,167.22/x
  3. Step 3: Cross multiply
    9,407.69x = 14,112.99 × 3,167.22
  4. Step 4: Simplify right side
    9,407.69x = 44,698,905.07
  5. Step 5: Solve for x
    x = 44,698,905.07/9,407.69
  6. Step 6: Final answer
    x = 4,751.31

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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.