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Finding the Fourth Proportional to 13,283.31, 18,331.53 and 7,619.66

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Solution

The fourth proportional to 13,283.31, 18,331.53 and 7,619.66 is: 10,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.31 : 18,331.53 = 7,619.66 : x
  2. Step 2: Convert to fraction form
    13,283.31/18,331.53 = 7,619.66/x
  3. Step 3: Cross multiply
    13,283.31x = 18,331.53 × 7,619.66
  4. Step 4: Simplify right side
    13,283.31x = 139,679,934.22
  5. Step 5: Solve for x
    x = 139,679,934.22/13,283.31
  6. Step 6: Final answer
    x = 10,515.45

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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.