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Finding the Fourth Proportional to 11,114.08, 15,337 and 6,078.28

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Solution

The fourth proportional to 11,114.08, 15,337 and 6,078.28 is: 8,387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.08 : 15,337 = 6,078.28 : x
  2. Step 2: Convert to fraction form
    11,114.08/15,337 = 6,078.28/x
  3. Step 3: Cross multiply
    11,114.08x = 15,337 × 6,078.28
  4. Step 4: Simplify right side
    11,114.08x = 93,222,580.36
  5. Step 5: Solve for x
    x = 93,222,580.36/11,114.08
  6. Step 6: Final answer
    x = 8,387.79

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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.