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Finding the Fourth Proportional to 8,367.68, 11,547.49 and 4,590.85

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Solution

The fourth proportional to 8,367.68, 11,547.49 and 4,590.85 is: 6,335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.68 : 11,547.49 = 4,590.85 : x
  2. Step 2: Convert to fraction form
    8,367.68/11,547.49 = 4,590.85/x
  3. Step 3: Cross multiply
    8,367.68x = 11,547.49 × 4,590.85
  4. Step 4: Simplify right side
    8,367.68x = 53,012,794.47
  5. Step 5: Solve for x
    x = 53,012,794.47/8,367.68
  6. Step 6: Final answer
    x = 6,335.42

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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.