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Finding the Fourth Proportional to 6,097.28, 8,406.58 and 4,977.08

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Solution

The fourth proportional to 6,097.28, 8,406.58 and 4,977.08 is: 6,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.28 : 8,406.58 = 4,977.08 : x
  2. Step 2: Convert to fraction form
    6,097.28/8,406.58 = 4,977.08/x
  3. Step 3: Cross multiply
    6,097.28x = 8,406.58 × 4,977.08
  4. Step 4: Simplify right side
    6,097.28x = 41,840,221.19
  5. Step 5: Solve for x
    x = 41,840,221.19/6,097.28
  6. Step 6: Final answer
    x = 6,862.11

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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.