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Finding the Fourth Proportional to 6,497.32, 8,967.12 and 4,261.06

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Solution

The fourth proportional to 6,497.32, 8,967.12 and 4,261.06 is: 5,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.32 : 8,967.12 = 4,261.06 : x
  2. Step 2: Convert to fraction form
    6,497.32/8,967.12 = 4,261.06/x
  3. Step 3: Cross multiply
    6,497.32x = 8,967.12 × 4,261.06
  4. Step 4: Simplify right side
    6,497.32x = 38,209,436.35
  5. Step 5: Solve for x
    x = 38,209,436.35/6,497.32
  6. Step 6: Final answer
    x = 5,880.80

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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.