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Finding the Fourth Proportional to 11,643.95, 16,070.81 and 6,863.54

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Solution

The fourth proportional to 11,643.95, 16,070.81 and 6,863.54 is: 9,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.95 : 16,070.81 = 6,863.54 : x
  2. Step 2: Convert to fraction form
    11,643.95/16,070.81 = 6,863.54/x
  3. Step 3: Cross multiply
    11,643.95x = 16,070.81 × 6,863.54
  4. Step 4: Simplify right side
    11,643.95x = 110,302,532.60
  5. Step 5: Solve for x
    x = 110,302,532.60/11,643.95
  6. Step 6: Final answer
    x = 9,472.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.