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Finding the Fourth Proportional to 12,894.66, 19,334.70 and 6,323.94

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Solution

The fourth proportional to 12,894.66, 19,334.70 and 6,323.94 is: 9,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.66 : 19,334.70 = 6,323.94 : x
  2. Step 2: Convert to fraction form
    12,894.66/19,334.70 = 6,323.94/x
  3. Step 3: Cross multiply
    12,894.66x = 19,334.70 × 6,323.94
  4. Step 4: Simplify right side
    12,894.66x = 122,271,482.72
  5. Step 5: Solve for x
    x = 122,271,482.72/12,894.66
  6. Step 6: Final answer
    x = 9,482.33

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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.