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Finding the Fourth Proportional to 8,308.14, 11,464.92 and 4,582.14

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Solution

The fourth proportional to 8,308.14, 11,464.92 and 4,582.14 is: 6,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.14 : 11,464.92 = 4,582.14 : x
  2. Step 2: Convert to fraction form
    8,308.14/11,464.92 = 4,582.14/x
  3. Step 3: Cross multiply
    8,308.14x = 11,464.92 × 4,582.14
  4. Step 4: Simplify right side
    8,308.14x = 52,533,871.40
  5. Step 5: Solve for x
    x = 52,533,871.40/8,308.14
  6. Step 6: Final answer
    x = 6,323.18

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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.