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Finding the Fourth Proportional to 16,630.58, 22,954.98 and 9,830.90

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Solution

The fourth proportional to 16,630.58, 22,954.98 and 9,830.90 is: 13,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,630.58 : 22,954.98 = 9,830.90 : x
  2. Step 2: Convert to fraction form
    16,630.58/22,954.98 = 9,830.90/x
  3. Step 3: Cross multiply
    16,630.58x = 22,954.98 × 9,830.90
  4. Step 4: Simplify right side
    16,630.58x = 225,668,112.88
  5. Step 5: Solve for x
    x = 225,668,112.88/16,630.58
  6. Step 6: Final answer
    x = 13,569.47

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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.