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Finding the Fourth Proportional to 19,683, 27,162.54 and 11,300.04

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Solution

The fourth proportional to 19,683, 27,162.54 and 11,300.04 is: 15,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 27,162.54 = 11,300.04 : x
  2. Step 2: Convert to fraction form
    19,683/27,162.54 = 11,300.04/x
  3. Step 3: Cross multiply
    19,683x = 27,162.54 × 11,300.04
  4. Step 4: Simplify right side
    19,683x = 306,937,788.50
  5. Step 5: Solve for x
    x = 306,937,788.50/19,683
  6. Step 6: Final answer
    x = 15,594.06

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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.