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Finding the Fourth Proportional to 16,407.64, 22,651.74 and 10,828.36

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Solution

The fourth proportional to 16,407.64, 22,651.74 and 10,828.36 is: 14,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.64 : 22,651.74 = 10,828.36 : x
  2. Step 2: Convert to fraction form
    16,407.64/22,651.74 = 10,828.36/x
  3. Step 3: Cross multiply
    16,407.64x = 22,651.74 × 10,828.36
  4. Step 4: Simplify right side
    16,407.64x = 245,281,195.35
  5. Step 5: Solve for x
    x = 245,281,195.35/16,407.64
  6. Step 6: Final answer
    x = 14,949.21

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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.