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Finding the Fourth Proportional to 8,308.17, 11,464.96 and 4,582.17

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Solution

The fourth proportional to 8,308.17, 11,464.96 and 4,582.17 is: 6,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.17 : 11,464.96 = 4,582.17 : x
  2. Step 2: Convert to fraction form
    8,308.17/11,464.96 = 4,582.17/x
  3. Step 3: Cross multiply
    8,308.17x = 11,464.96 × 4,582.17
  4. Step 4: Simplify right side
    8,308.17x = 52,534,424.43
  5. Step 5: Solve for x
    x = 52,534,424.43/8,308.17
  6. Step 6: Final answer
    x = 6,323.22

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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.