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Finding the Fourth Proportional to 8,228.16, 11,354.86 and 4,643.88

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Solution

The fourth proportional to 8,228.16, 11,354.86 and 4,643.88 is: 6,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.16 : 11,354.86 = 4,643.88 : x
  2. Step 2: Convert to fraction form
    8,228.16/11,354.86 = 4,643.88/x
  3. Step 3: Cross multiply
    8,228.16x = 11,354.86 × 4,643.88
  4. Step 4: Simplify right side
    8,228.16x = 52,730,607.26
  5. Step 5: Solve for x
    x = 52,730,607.26/8,228.16
  6. Step 6: Final answer
    x = 6,408.55

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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.