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Finding the Fourth Proportional to 15,033.93, 20,743.08 and 9,722.34

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Solution

The fourth proportional to 15,033.93, 20,743.08 and 9,722.34 is: 13,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,033.93 : 20,743.08 = 9,722.34 : x
  2. Step 2: Convert to fraction form
    15,033.93/20,743.08 = 9,722.34/x
  3. Step 3: Cross multiply
    15,033.93x = 20,743.08 × 9,722.34
  4. Step 4: Simplify right side
    15,033.93x = 201,671,276.41
  5. Step 5: Solve for x
    x = 201,671,276.41/15,033.93
  6. Step 6: Final answer
    x = 13,414.41

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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.