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Finding the Fourth Proportional to 14,641.83, 21,968.91 and 7,623.65

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Solution

The fourth proportional to 14,641.83, 21,968.91 and 7,623.65 is: 11,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.83 : 21,968.91 = 7,623.65 : x
  2. Step 2: Convert to fraction form
    14,641.83/21,968.91 = 7,623.65/x
  3. Step 3: Cross multiply
    14,641.83x = 21,968.91 × 7,623.65
  4. Step 4: Simplify right side
    14,641.83x = 167,483,335.64
  5. Step 5: Solve for x
    x = 167,483,335.64/14,641.83
  6. Step 6: Final answer
    x = 11,438.69

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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.