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Finding the Fourth Proportional to 9,326.76, 13,971.54 and 5,617.80

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Solution

The fourth proportional to 9,326.76, 13,971.54 and 5,617.80 is: 8,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.76 : 13,971.54 = 5,617.80 : x
  2. Step 2: Convert to fraction form
    9,326.76/13,971.54 = 5,617.80/x
  3. Step 3: Cross multiply
    9,326.76x = 13,971.54 × 5,617.80
  4. Step 4: Simplify right side
    9,326.76x = 78,489,317.41
  5. Step 5: Solve for x
    x = 78,489,317.41/9,326.76
  6. Step 6: Final answer
    x = 8,415.50

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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.