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Finding the Fourth Proportional to 6,530.61, 9,012.16 and 3,546.48

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Solution

The fourth proportional to 6,530.61, 9,012.16 and 3,546.48 is: 4,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.61 : 9,012.16 = 3,546.48 : x
  2. Step 2: Convert to fraction form
    6,530.61/9,012.16 = 3,546.48/x
  3. Step 3: Cross multiply
    6,530.61x = 9,012.16 × 3,546.48
  4. Step 4: Simplify right side
    6,530.61x = 31,961,445.20
  5. Step 5: Solve for x
    x = 31,961,445.20/6,530.61
  6. Step 6: Final answer
    x = 4,894.10

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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.