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Finding the Fourth Proportional to 13,033.70, 17,986.53 and 7,065.35

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Solution

The fourth proportional to 13,033.70, 17,986.53 and 7,065.35 is: 9,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.70 : 17,986.53 = 7,065.35 : x
  2. Step 2: Convert to fraction form
    13,033.70/17,986.53 = 7,065.35/x
  3. Step 3: Cross multiply
    13,033.70x = 17,986.53 × 7,065.35
  4. Step 4: Simplify right side
    13,033.70x = 127,081,129.74
  5. Step 5: Solve for x
    x = 127,081,129.74/13,033.70
  6. Step 6: Final answer
    x = 9,750.20

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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.