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Finding the Fourth Proportional to 8,367.57, 11,547.77 and 4,641.57

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Solution

The fourth proportional to 8,367.57, 11,547.77 and 4,641.57 is: 6,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.57 : 11,547.77 = 4,641.57 : x
  2. Step 2: Convert to fraction form
    8,367.57/11,547.77 = 4,641.57/x
  3. Step 3: Cross multiply
    8,367.57x = 11,547.77 × 4,641.57
  4. Step 4: Simplify right side
    8,367.57x = 53,599,759.59
  5. Step 5: Solve for x
    x = 53,599,759.59/8,367.57
  6. Step 6: Final answer
    x = 6,405.65

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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.