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Finding the Fourth Proportional to 16,476.57, 22,736.73 and 9,762.84

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Solution

The fourth proportional to 16,476.57, 22,736.73 and 9,762.84 is: 13,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.57 : 22,736.73 = 9,762.84 : x
  2. Step 2: Convert to fraction form
    16,476.57/22,736.73 = 9,762.84/x
  3. Step 3: Cross multiply
    16,476.57x = 22,736.73 × 9,762.84
  4. Step 4: Simplify right side
    16,476.57x = 221,975,057.11
  5. Step 5: Solve for x
    x = 221,975,057.11/16,476.57
  6. Step 6: Final answer
    x = 13,472.16

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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.