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Finding the Fourth Proportional to 19,683.76, 27,164.24 and 10,732

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Solution

The fourth proportional to 19,683.76, 27,164.24 and 10,732 is: 14,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.76 : 27,164.24 = 10,732 : x
  2. Step 2: Convert to fraction form
    19,683.76/27,164.24 = 10,732/x
  3. Step 3: Cross multiply
    19,683.76x = 27,164.24 × 10,732
  4. Step 4: Simplify right side
    19,683.76x = 291,526,623.68
  5. Step 5: Solve for x
    x = 291,526,623.68/19,683.76
  6. Step 6: Final answer
    x = 14,810.52

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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.