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Finding the Fourth Proportional to 6,093.48, 8,412.90 and 4,977.10

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Solution

The fourth proportional to 6,093.48, 8,412.90 and 4,977.10 is: 6,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.48 : 8,412.90 = 4,977.10 : x
  2. Step 2: Convert to fraction form
    6,093.48/8,412.90 = 4,977.10/x
  3. Step 3: Cross multiply
    6,093.48x = 8,412.90 × 4,977.10
  4. Step 4: Simplify right side
    6,093.48x = 41,871,844.59
  5. Step 5: Solve for x
    x = 41,871,844.59/6,093.48
  6. Step 6: Final answer
    x = 6,871.58

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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.