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Finding the Fourth Proportional to 19,641.40, 29,462.10 and 9,273.40

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Solution

The fourth proportional to 19,641.40, 29,462.10 and 9,273.40 is: 13,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.40 : 29,462.10 = 9,273.40 : x
  2. Step 2: Convert to fraction form
    19,641.40/29,462.10 = 9,273.40/x
  3. Step 3: Cross multiply
    19,641.40x = 29,462.10 × 9,273.40
  4. Step 4: Simplify right side
    19,641.40x = 273,213,838.14
  5. Step 5: Solve for x
    x = 273,213,838.14/19,641.40
  6. Step 6: Final answer
    x = 13,910.10

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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.