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Finding the Fourth Proportional to 7,153.25, 9,866.54 and 5,033.21

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Solution

The fourth proportional to 7,153.25, 9,866.54 and 5,033.21 is: 6,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.25 : 9,866.54 = 5,033.21 : x
  2. Step 2: Convert to fraction form
    7,153.25/9,866.54 = 5,033.21/x
  3. Step 3: Cross multiply
    7,153.25x = 9,866.54 × 5,033.21
  4. Step 4: Simplify right side
    7,153.25x = 49,660,331.04
  5. Step 5: Solve for x
    x = 49,660,331.04/7,153.25
  6. Step 6: Final answer
    x = 6,942.35

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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.