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Finding the Fourth Proportional to 8,367.67, 11,547.72 and 4,590.97

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Solution

The fourth proportional to 8,367.67, 11,547.72 and 4,590.97 is: 6,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.67 : 11,547.72 = 4,590.97 : x
  2. Step 2: Convert to fraction form
    8,367.67/11,547.72 = 4,590.97/x
  3. Step 3: Cross multiply
    8,367.67x = 11,547.72 × 4,590.97
  4. Step 4: Simplify right side
    8,367.67x = 53,015,236.09
  5. Step 5: Solve for x
    x = 53,015,236.09/8,367.67
  6. Step 6: Final answer
    x = 6,335.72

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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.