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Finding the Fourth Proportional to 6,571.86, 9,069.10 and 3,587.68

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Solution

The fourth proportional to 6,571.86, 9,069.10 and 3,587.68 is: 4,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.86 : 9,069.10 = 3,587.68 : x
  2. Step 2: Convert to fraction form
    6,571.86/9,069.10 = 3,587.68/x
  3. Step 3: Cross multiply
    6,571.86x = 9,069.10 × 3,587.68
  4. Step 4: Simplify right side
    6,571.86x = 32,537,028.69
  5. Step 5: Solve for x
    x = 32,537,028.69/6,571.86
  6. Step 6: Final answer
    x = 4,950.96

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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.