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Finding the Fourth Proportional to 11,651, 16,085.70 and 8,993.48

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Solution

The fourth proportional to 11,651, 16,085.70 and 8,993.48 is: 12,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651 : 16,085.70 = 8,993.48 : x
  2. Step 2: Convert to fraction form
    11,651/16,085.70 = 8,993.48/x
  3. Step 3: Cross multiply
    11,651x = 16,085.70 × 8,993.48
  4. Step 4: Simplify right side
    11,651x = 144,666,421.24
  5. Step 5: Solve for x
    x = 144,666,421.24/11,651
  6. Step 6: Final answer
    x = 12,416.65

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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.