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Finding the Fourth Proportional to 8,390.86, 12,587.73 and 3,457.80

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Solution

The fourth proportional to 8,390.86, 12,587.73 and 3,457.80 is: 5,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.86 : 12,587.73 = 3,457.80 : x
  2. Step 2: Convert to fraction form
    8,390.86/12,587.73 = 3,457.80/x
  3. Step 3: Cross multiply
    8,390.86x = 12,587.73 × 3,457.80
  4. Step 4: Simplify right side
    8,390.86x = 43,525,839.83
  5. Step 5: Solve for x
    x = 43,525,839.83/8,390.86
  6. Step 6: Final answer
    x = 5,187.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.