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Finding the Fourth Proportional to 6,496.16, 8,968.80 and 4,506.02

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Solution

The fourth proportional to 6,496.16, 8,968.80 and 4,506.02 is: 6,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.16 : 8,968.80 = 4,506.02 : x
  2. Step 2: Convert to fraction form
    6,496.16/8,968.80 = 4,506.02/x
  3. Step 3: Cross multiply
    6,496.16x = 8,968.80 × 4,506.02
  4. Step 4: Simplify right side
    6,496.16x = 40,413,592.18
  5. Step 5: Solve for x
    x = 40,413,592.18/6,496.16
  6. Step 6: Final answer
    x = 6,221.15

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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.