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Finding the Fourth Proportional to 38,007.80, 57,011.40 and 9,927.80

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Solution

The fourth proportional to 38,007.80, 57,011.40 and 9,927.80 is: 14,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007.80 : 57,011.40 = 9,927.80 : x
  2. Step 2: Convert to fraction form
    38,007.80/57,011.40 = 9,927.80/x
  3. Step 3: Cross multiply
    38,007.80x = 57,011.40 × 9,927.80
  4. Step 4: Simplify right side
    38,007.80x = 565,997,776.92
  5. Step 5: Solve for x
    x = 565,997,776.92/38,007.80
  6. Step 6: Final answer
    x = 14,891.62

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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.