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Finding the Fourth Proportional to 38,064.80, 57,097.20 and 9,984.80

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Solution

The fourth proportional to 38,064.80, 57,097.20 and 9,984.80 is: 14,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064.80 : 57,097.20 = 9,984.80 : x
  2. Step 2: Convert to fraction form
    38,064.80/57,097.20 = 9,984.80/x
  3. Step 3: Cross multiply
    38,064.80x = 57,097.20 × 9,984.80
  4. Step 4: Simplify right side
    38,064.80x = 570,104,122.56
  5. Step 5: Solve for x
    x = 570,104,122.56/38,064.80
  6. Step 6: Final answer
    x = 14,977.20

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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.