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Finding the Fourth Proportional to 13,033.54, 17,986.24 and 7,065.15

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Solution

The fourth proportional to 13,033.54, 17,986.24 and 7,065.15 is: 9,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.54 : 17,986.24 = 7,065.15 : x
  2. Step 2: Convert to fraction form
    13,033.54/17,986.24 = 7,065.15/x
  3. Step 3: Cross multiply
    13,033.54x = 17,986.24 × 7,065.15
  4. Step 4: Simplify right side
    13,033.54x = 127,075,448.21
  5. Step 5: Solve for x
    x = 127,075,448.21/13,033.54
  6. Step 6: Final answer
    x = 9,749.88

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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.