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Finding the Fourth Proportional to 11,705.66, 16,154.88 and 9,192.44

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Solution

The fourth proportional to 11,705.66, 16,154.88 and 9,192.44 is: 12,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.66 : 16,154.88 = 9,192.44 : x
  2. Step 2: Convert to fraction form
    11,705.66/16,154.88 = 9,192.44/x
  3. Step 3: Cross multiply
    11,705.66x = 16,154.88 × 9,192.44
  4. Step 4: Simplify right side
    11,705.66x = 148,502,765.11
  5. Step 5: Solve for x
    x = 148,502,765.11/11,705.66
  6. Step 6: Final answer
    x = 12,686.41

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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.