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Finding the Fourth Proportional to 11,957.60, 17,928.30 and 6,109.40

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Solution

The fourth proportional to 11,957.60, 17,928.30 and 6,109.40 is: 9,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.60 : 17,928.30 = 6,109.40 : x
  2. Step 2: Convert to fraction form
    11,957.60/17,928.30 = 6,109.40/x
  3. Step 3: Cross multiply
    11,957.60x = 17,928.30 × 6,109.40
  4. Step 4: Simplify right side
    11,957.60x = 109,531,156.02
  5. Step 5: Solve for x
    x = 109,531,156.02/11,957.60
  6. Step 6: Final answer
    x = 9,159.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.