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Finding the Fourth Proportional to 12,894.60, 19,342.80 and 5,102.40

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Solution

The fourth proportional to 12,894.60, 19,342.80 and 5,102.40 is: 7,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.60 : 19,342.80 = 5,102.40 : x
  2. Step 2: Convert to fraction form
    12,894.60/19,342.80 = 5,102.40/x
  3. Step 3: Cross multiply
    12,894.60x = 19,342.80 × 5,102.40
  4. Step 4: Simplify right side
    12,894.60x = 98,694,702.72
  5. Step 5: Solve for x
    x = 98,694,702.72/12,894.60
  6. Step 6: Final answer
    x = 7,653.96

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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.