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Finding the Fourth Proportional to 10,033.46, 14,989.17 and 6,494.64

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Solution

The fourth proportional to 10,033.46, 14,989.17 and 6,494.64 is: 9,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.46 : 14,989.17 = 6,494.64 : x
  2. Step 2: Convert to fraction form
    10,033.46/14,989.17 = 6,494.64/x
  3. Step 3: Cross multiply
    10,033.46x = 14,989.17 × 6,494.64
  4. Step 4: Simplify right side
    10,033.46x = 97,349,263.05
  5. Step 5: Solve for x
    x = 97,349,263.05/10,033.46
  6. Step 6: Final answer
    x = 9,702.46

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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.