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Finding the Fourth Proportional to 5,506.22, 8,259.04 and 1,948.10

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Solution

The fourth proportional to 5,506.22, 8,259.04 and 1,948.10 is: 2,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.22 : 8,259.04 = 1,948.10 : x
  2. Step 2: Convert to fraction form
    5,506.22/8,259.04 = 1,948.10/x
  3. Step 3: Cross multiply
    5,506.22x = 8,259.04 × 1,948.10
  4. Step 4: Simplify right side
    5,506.22x = 16,089,435.82
  5. Step 5: Solve for x
    x = 16,089,435.82/5,506.22
  6. Step 6: Final answer
    x = 2,922.05

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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.