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Finding the Fourth Proportional to 10,973.63, 16,428.13 and 6,800.23

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Solution

The fourth proportional to 10,973.63, 16,428.13 and 6,800.23 is: 10,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.63 : 16,428.13 = 6,800.23 : x
  2. Step 2: Convert to fraction form
    10,973.63/16,428.13 = 6,800.23/x
  3. Step 3: Cross multiply
    10,973.63x = 16,428.13 × 6,800.23
  4. Step 4: Simplify right side
    10,973.63x = 111,715,062.47
  5. Step 5: Solve for x
    x = 111,715,062.47/10,973.63
  6. Step 6: Final answer
    x = 10,180.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.