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Finding the Fourth Proportional to 6,095.86, 8,412.91 and 4,395.77

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Solution

The fourth proportional to 6,095.86, 8,412.91 and 4,395.77 is: 6,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.86 : 8,412.91 = 4,395.77 : x
  2. Step 2: Convert to fraction form
    6,095.86/8,412.91 = 4,395.77/x
  3. Step 3: Cross multiply
    6,095.86x = 8,412.91 × 4,395.77
  4. Step 4: Simplify right side
    6,095.86x = 36,981,164.34
  5. Step 5: Solve for x
    x = 36,981,164.34/6,095.86
  6. Step 6: Final answer
    x = 6,066.60

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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.