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Finding the Fourth Proportional to 15,710.25, 21,674.13 and 11,631.77

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Solution

The fourth proportional to 15,710.25, 21,674.13 and 11,631.77 is: 16,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.25 : 21,674.13 = 11,631.77 : x
  2. Step 2: Convert to fraction form
    15,710.25/21,674.13 = 11,631.77/x
  3. Step 3: Cross multiply
    15,710.25x = 21,674.13 × 11,631.77
  4. Step 4: Simplify right side
    15,710.25x = 252,108,495.11
  5. Step 5: Solve for x
    x = 252,108,495.11/15,710.25
  6. Step 6: Final answer
    x = 16,047.39

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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.