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Finding the Fourth Proportional to 12,594.24, 18,894.24 and 3,830.40

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Solution

The fourth proportional to 12,594.24, 18,894.24 and 3,830.40 is: 5,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.24 : 18,894.24 = 3,830.40 : x
  2. Step 2: Convert to fraction form
    12,594.24/18,894.24 = 3,830.40/x
  3. Step 3: Cross multiply
    12,594.24x = 18,894.24 × 3,830.40
  4. Step 4: Simplify right side
    12,594.24x = 72,372,496.90
  5. Step 5: Solve for x
    x = 72,372,496.90/12,594.24
  6. Step 6: Final answer
    x = 5,746.48

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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.