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Finding the Fourth Proportional to 27,214.65, 40,825.62 and 9,684.63

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Solution

The fourth proportional to 27,214.65, 40,825.62 and 9,684.63 is: 14,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.65 : 40,825.62 = 9,684.63 : x
  2. Step 2: Convert to fraction form
    27,214.65/40,825.62 = 9,684.63/x
  3. Step 3: Cross multiply
    27,214.65x = 40,825.62 × 9,684.63
  4. Step 4: Simplify right side
    27,214.65x = 395,381,024.22
  5. Step 5: Solve for x
    x = 395,381,024.22/27,214.65
  6. Step 6: Final answer
    x = 14,528.24

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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.