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Finding the Fourth Proportional to 6,341.48, 9,466.38 and 5,563.88

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Solution

The fourth proportional to 6,341.48, 9,466.38 and 5,563.88 is: 8,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.48 : 9,466.38 = 5,563.88 : x
  2. Step 2: Convert to fraction form
    6,341.48/9,466.38 = 5,563.88/x
  3. Step 3: Cross multiply
    6,341.48x = 9,466.38 × 5,563.88
  4. Step 4: Simplify right side
    6,341.48x = 52,669,775.89
  5. Step 5: Solve for x
    x = 52,669,775.89/6,341.48
  6. Step 6: Final answer
    x = 8,305.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.