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Finding the Fourth Proportional to 11,862.41, 16,368.41 and 6,824.70

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Solution

The fourth proportional to 11,862.41, 16,368.41 and 6,824.70 is: 9,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.41 : 16,368.41 = 6,824.70 : x
  2. Step 2: Convert to fraction form
    11,862.41/16,368.41 = 6,824.70/x
  3. Step 3: Cross multiply
    11,862.41x = 16,368.41 × 6,824.70
  4. Step 4: Simplify right side
    11,862.41x = 111,709,453.60
  5. Step 5: Solve for x
    x = 111,709,453.60/11,862.41
  6. Step 6: Final answer
    x = 9,417.10

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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.