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Finding the Fourth Proportional to 38,006.30, 57,009.15 and 9,926.30

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Solution

The fourth proportional to 38,006.30, 57,009.15 and 9,926.30 is: 14,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006.30 : 57,009.15 = 9,926.30 : x
  2. Step 2: Convert to fraction form
    38,006.30/57,009.15 = 9,926.30/x
  3. Step 3: Cross multiply
    38,006.30x = 57,009.15 × 9,926.30
  4. Step 4: Simplify right side
    38,006.30x = 565,889,925.65
  5. Step 5: Solve for x
    x = 565,889,925.65/38,006.30
  6. Step 6: Final answer
    x = 14,889.37

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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.