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Finding the Fourth Proportional to 8,182.08, 12,346.29 and 8,182.08

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Solution

The fourth proportional to 8,182.08, 12,346.29 and 8,182.08 is: 12,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.08 : 12,346.29 = 8,182.08 : x
  2. Step 2: Convert to fraction form
    8,182.08/12,346.29 = 8,182.08/x
  3. Step 3: Cross multiply
    8,182.08x = 12,346.29 × 8,182.08
  4. Step 4: Simplify right side
    8,182.08x = 101,018,332.48
  5. Step 5: Solve for x
    x = 101,018,332.48/8,182.08
  6. Step 6: Final answer
    x = 12,346.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.