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Finding the Fourth Proportional to 6,533.71, 9,016.23 and 3,701.03

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Solution

The fourth proportional to 6,533.71, 9,016.23 and 3,701.03 is: 5,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.71 : 9,016.23 = 3,701.03 : x
  2. Step 2: Convert to fraction form
    6,533.71/9,016.23 = 3,701.03/x
  3. Step 3: Cross multiply
    6,533.71x = 9,016.23 × 3,701.03
  4. Step 4: Simplify right side
    6,533.71x = 33,369,330.26
  5. Step 5: Solve for x
    x = 33,369,330.26/6,533.71
  6. Step 6: Final answer
    x = 5,107.25

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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.