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Finding the Fourth Proportional to 12,703.64, 19,059.30 and 6,128.60

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Solution

The fourth proportional to 12,703.64, 19,059.30 and 6,128.60 is: 9,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.64 : 19,059.30 = 6,128.60 : x
  2. Step 2: Convert to fraction form
    12,703.64/19,059.30 = 6,128.60/x
  3. Step 3: Cross multiply
    12,703.64x = 19,059.30 × 6,128.60
  4. Step 4: Simplify right side
    12,703.64x = 116,806,730.68
  5. Step 5: Solve for x
    x = 116,806,730.68/12,703.64
  6. Step 6: Final answer
    x = 9,194.75

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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.