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Finding the Fourth Proportional to 13,033.65, 17,985.96 and 7,065.21

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Solution

The fourth proportional to 13,033.65, 17,985.96 and 7,065.21 is: 9,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.65 : 17,985.96 = 7,065.21 : x
  2. Step 2: Convert to fraction form
    13,033.65/17,985.96 = 7,065.21/x
  3. Step 3: Cross multiply
    13,033.65x = 17,985.96 × 7,065.21
  4. Step 4: Simplify right side
    13,033.65x = 127,074,584.45
  5. Step 5: Solve for x
    x = 127,074,584.45/13,033.65
  6. Step 6: Final answer
    x = 9,749.73

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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.