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Finding the Fourth Proportional to 16,411.14, 22,649.04 and 9,698.94

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Solution

The fourth proportional to 16,411.14, 22,649.04 and 9,698.94 is: 13,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.14 : 22,649.04 = 9,698.94 : x
  2. Step 2: Convert to fraction form
    16,411.14/22,649.04 = 9,698.94/x
  3. Step 3: Cross multiply
    16,411.14x = 22,649.04 × 9,698.94
  4. Step 4: Simplify right side
    16,411.14x = 219,671,680.02
  5. Step 5: Solve for x
    x = 219,671,680.02/16,411.14
  6. Step 6: Final answer
    x = 13,385.52

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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.