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Finding the Fourth Proportional to 8,567.77, 11,822.89 and 4,739.24

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Solution

The fourth proportional to 8,567.77, 11,822.89 and 4,739.24 is: 6,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.77 : 11,822.89 = 4,739.24 : x
  2. Step 2: Convert to fraction form
    8,567.77/11,822.89 = 4,739.24/x
  3. Step 3: Cross multiply
    8,567.77x = 11,822.89 × 4,739.24
  4. Step 4: Simplify right side
    8,567.77x = 56,031,513.20
  5. Step 5: Solve for x
    x = 56,031,513.20/8,567.77
  6. Step 6: Final answer
    x = 6,539.80

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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.