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Finding the Fourth Proportional to 5,547.76, 8,321.74 and 3,098.18

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Solution

The fourth proportional to 5,547.76, 8,321.74 and 3,098.18 is: 4,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.76 : 8,321.74 = 3,098.18 : x
  2. Step 2: Convert to fraction form
    5,547.76/8,321.74 = 3,098.18/x
  3. Step 3: Cross multiply
    5,547.76x = 8,321.74 × 3,098.18
  4. Step 4: Simplify right side
    5,547.76x = 25,782,261.49
  5. Step 5: Solve for x
    x = 25,782,261.49/5,547.76
  6. Step 6: Final answer
    x = 4,647.33

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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.