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Finding the Fourth Proportional to 8,028, 11,078.64 and 4,884.78

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Solution

The fourth proportional to 8,028, 11,078.64 and 4,884.78 is: 6,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028 : 11,078.64 = 4,884.78 : x
  2. Step 2: Convert to fraction form
    8,028/11,078.64 = 4,884.78/x
  3. Step 3: Cross multiply
    8,028x = 11,078.64 × 4,884.78
  4. Step 4: Simplify right side
    8,028x = 54,116,719.10
  5. Step 5: Solve for x
    x = 54,116,719.10/8,028
  6. Step 6: Final answer
    x = 6,741.00

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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.