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Finding the Fourth Proportional to 16,497.70, 22,770.78 and 9,428.24

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Solution

The fourth proportional to 16,497.70, 22,770.78 and 9,428.24 is: 13,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.70 : 22,770.78 = 9,428.24 : x
  2. Step 2: Convert to fraction form
    16,497.70/22,770.78 = 9,428.24/x
  3. Step 3: Cross multiply
    16,497.70x = 22,770.78 × 9,428.24
  4. Step 4: Simplify right side
    16,497.70x = 214,688,378.83
  5. Step 5: Solve for x
    x = 214,688,378.83/16,497.70
  6. Step 6: Final answer
    x = 13,013.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.