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Finding the Fourth Proportional to 8,122.10, 10,973.48 and 8,122.10

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Solution

The fourth proportional to 8,122.10, 10,973.48 and 8,122.10 is: 10,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.10 : 10,973.48 = 8,122.10 : x
  2. Step 2: Convert to fraction form
    8,122.10/10,973.48 = 8,122.10/x
  3. Step 3: Cross multiply
    8,122.10x = 10,973.48 × 8,122.10
  4. Step 4: Simplify right side
    8,122.10x = 89,127,661.30
  5. Step 5: Solve for x
    x = 89,127,661.30/8,122.10
  6. Step 6: Final answer
    x = 10,973.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.