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Finding the Fourth Proportional to 12,503.70, 18,730.35 and 7,809.30

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Solution

The fourth proportional to 12,503.70, 18,730.35 and 7,809.30 is: 11,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.70 : 18,730.35 = 7,809.30 : x
  2. Step 2: Convert to fraction form
    12,503.70/18,730.35 = 7,809.30/x
  3. Step 3: Cross multiply
    12,503.70x = 18,730.35 × 7,809.30
  4. Step 4: Simplify right side
    12,503.70x = 146,270,922.26
  5. Step 5: Solve for x
    x = 146,270,922.26/12,503.70
  6. Step 6: Final answer
    x = 11,698.21

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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.