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Finding the Fourth Proportional to 8,038, 11,093.76 and 5,054.28

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Solution

The fourth proportional to 8,038, 11,093.76 and 5,054.28 is: 6,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038 : 11,093.76 = 5,054.28 : x
  2. Step 2: Convert to fraction form
    8,038/11,093.76 = 5,054.28/x
  3. Step 3: Cross multiply
    8,038x = 11,093.76 × 5,054.28
  4. Step 4: Simplify right side
    8,038x = 56,070,969.29
  5. Step 5: Solve for x
    x = 56,070,969.29/8,038
  6. Step 6: Final answer
    x = 6,975.74

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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.