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Finding the Fourth Proportional to 38,000.80, 57,000.90 and 9,920.80

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Solution

The fourth proportional to 38,000.80, 57,000.90 and 9,920.80 is: 14,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.80 : 57,000.90 = 9,920.80 : x
  2. Step 2: Convert to fraction form
    38,000.80/57,000.90 = 9,920.80/x
  3. Step 3: Cross multiply
    38,000.80x = 57,000.90 × 9,920.80
  4. Step 4: Simplify right side
    38,000.80x = 565,494,528.72
  5. Step 5: Solve for x
    x = 565,494,528.72/38,000.80
  6. Step 6: Final answer
    x = 14,881.12

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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.