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Finding the Fourth Proportional to 11,957.60, 16,503 and 6,654.80

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Solution

The fourth proportional to 11,957.60, 16,503 and 6,654.80 is: 9,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.60 : 16,503 = 6,654.80 : x
  2. Step 2: Convert to fraction form
    11,957.60/16,503 = 6,654.80/x
  3. Step 3: Cross multiply
    11,957.60x = 16,503 × 6,654.80
  4. Step 4: Simplify right side
    11,957.60x = 109,824,164.40
  5. Step 5: Solve for x
    x = 109,824,164.40/11,957.60
  6. Step 6: Final answer
    x = 9,184.47

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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.