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Finding the Fourth Proportional to 20,070.92, 27,697.80 and 11,573

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Solution

The fourth proportional to 20,070.92, 27,697.80 and 11,573 is: 15,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070.92 : 27,697.80 = 11,573 : x
  2. Step 2: Convert to fraction form
    20,070.92/27,697.80 = 11,573/x
  3. Step 3: Cross multiply
    20,070.92x = 27,697.80 × 11,573
  4. Step 4: Simplify right side
    20,070.92x = 320,546,639.40
  5. Step 5: Solve for x
    x = 320,546,639.40/20,070.92
  6. Step 6: Final answer
    x = 15,970.70

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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.