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Finding the Fourth Proportional to 11,454.93, 15,807.05 and 6,738.30

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Solution

The fourth proportional to 11,454.93, 15,807.05 and 6,738.30 is: 9,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.93 : 15,807.05 = 6,738.30 : x
  2. Step 2: Convert to fraction form
    11,454.93/15,807.05 = 6,738.30/x
  3. Step 3: Cross multiply
    11,454.93x = 15,807.05 × 6,738.30
  4. Step 4: Simplify right side
    11,454.93x = 106,512,645.02
  5. Step 5: Solve for x
    x = 106,512,645.02/11,454.93
  6. Step 6: Final answer
    x = 9,298.41

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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.