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Finding the Fourth Proportional to 11,861, 16,368.24 and 6,483.55

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Solution

The fourth proportional to 11,861, 16,368.24 and 6,483.55 is: 8,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861 : 16,368.24 = 6,483.55 : x
  2. Step 2: Convert to fraction form
    11,861/16,368.24 = 6,483.55/x
  3. Step 3: Cross multiply
    11,861x = 16,368.24 × 6,483.55
  4. Step 4: Simplify right side
    11,861x = 106,124,302.45
  5. Step 5: Solve for x
    x = 106,124,302.45/11,861
  6. Step 6: Final answer
    x = 8,947.33

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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.