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Finding the Fourth Proportional to 6,193.87, 8,547.73 and 3,540.71

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Solution

The fourth proportional to 6,193.87, 8,547.73 and 3,540.71 is: 4,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.87 : 8,547.73 = 3,540.71 : x
  2. Step 2: Convert to fraction form
    6,193.87/8,547.73 = 3,540.71/x
  3. Step 3: Cross multiply
    6,193.87x = 8,547.73 × 3,540.71
  4. Step 4: Simplify right side
    6,193.87x = 30,265,045.61
  5. Step 5: Solve for x
    x = 30,265,045.61/6,193.87
  6. Step 6: Final answer
    x = 4,886.29

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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.