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Finding the Fourth Proportional to 13,957.64, 19,258.88 and 8,653.76

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Solution

The fourth proportional to 13,957.64, 19,258.88 and 8,653.76 is: 11,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.64 : 19,258.88 = 8,653.76 : x
  2. Step 2: Convert to fraction form
    13,957.64/19,258.88 = 8,653.76/x
  3. Step 3: Cross multiply
    13,957.64x = 19,258.88 × 8,653.76
  4. Step 4: Simplify right side
    13,957.64x = 166,661,725.39
  5. Step 5: Solve for x
    x = 166,661,725.39/13,957.64
  6. Step 6: Final answer
    x = 11,940.54

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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.