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Finding the Fourth Proportional to 14,491.17, 21,682.08 and 9,566.78

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Solution

The fourth proportional to 14,491.17, 21,682.08 and 9,566.78 is: 14,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.17 : 21,682.08 = 9,566.78 : x
  2. Step 2: Convert to fraction form
    14,491.17/21,682.08 = 9,566.78/x
  3. Step 3: Cross multiply
    14,491.17x = 21,682.08 × 9,566.78
  4. Step 4: Simplify right side
    14,491.17x = 207,427,580.89
  5. Step 5: Solve for x
    x = 207,427,580.89/14,491.17
  6. Step 6: Final answer
    x = 14,314.07

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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.