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Finding the Fourth Proportional to 38,466.40, 57,725.40 and 13,506.40

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Solution

The fourth proportional to 38,466.40, 57,725.40 and 13,506.40 is: 20,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.40 : 57,725.40 = 13,506.40 : x
  2. Step 2: Convert to fraction form
    38,466.40/57,725.40 = 13,506.40/x
  3. Step 3: Cross multiply
    38,466.40x = 57,725.40 × 13,506.40
  4. Step 4: Simplify right side
    38,466.40x = 779,662,342.56
  5. Step 5: Solve for x
    x = 779,662,342.56/38,466.40
  6. Step 6: Final answer
    x = 20,268.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.