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Finding the Fourth Proportional to 11,766.03, 16,237.17 and 6,460.95

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Solution

The fourth proportional to 11,766.03, 16,237.17 and 6,460.95 is: 8,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.03 : 16,237.17 = 6,460.95 : x
  2. Step 2: Convert to fraction form
    11,766.03/16,237.17 = 6,460.95/x
  3. Step 3: Cross multiply
    11,766.03x = 16,237.17 × 6,460.95
  4. Step 4: Simplify right side
    11,766.03x = 104,907,543.51
  5. Step 5: Solve for x
    x = 104,907,543.51/11,766.03
  6. Step 6: Final answer
    x = 8,916.14

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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.