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Finding the Fourth Proportional to 6,284, 8,710.58 and 6,179.42

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Solution

The fourth proportional to 6,284, 8,710.58 and 6,179.42 is: 8,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284 : 8,710.58 = 6,179.42 : x
  2. Step 2: Convert to fraction form
    6,284/8,710.58 = 6,179.42/x
  3. Step 3: Cross multiply
    6,284x = 8,710.58 × 6,179.42
  4. Step 4: Simplify right side
    6,284x = 53,826,332.26
  5. Step 5: Solve for x
    x = 53,826,332.26/6,284
  6. Step 6: Final answer
    x = 8,565.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.