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Finding the Fourth Proportional to 19,683, 27,166.86 and 12,235.32

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Solution

The fourth proportional to 19,683, 27,166.86 and 12,235.32 is: 16,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 27,166.86 = 12,235.32 : x
  2. Step 2: Convert to fraction form
    19,683/27,166.86 = 12,235.32/x
  3. Step 3: Cross multiply
    19,683x = 27,166.86 × 12,235.32
  4. Step 4: Simplify right side
    19,683x = 332,395,225.50
  5. Step 5: Solve for x
    x = 332,395,225.50/19,683
  6. Step 6: Final answer
    x = 16,887.43

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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.