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Finding the Fourth Proportional to 6,295.88, 9,443.84 and 2,547.60

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Solution

The fourth proportional to 6,295.88, 9,443.84 and 2,547.60 is: 3,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.88 : 9,443.84 = 2,547.60 : x
  2. Step 2: Convert to fraction form
    6,295.88/9,443.84 = 2,547.60/x
  3. Step 3: Cross multiply
    6,295.88x = 9,443.84 × 2,547.60
  4. Step 4: Simplify right side
    6,295.88x = 24,059,114.05
  5. Step 5: Solve for x
    x = 24,059,114.05/6,295.88
  6. Step 6: Final answer
    x = 3,821.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.