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Finding the Fourth Proportional to 14,308.64, 21,463.04 and 6,512

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Solution

The fourth proportional to 14,308.64, 21,463.04 and 6,512 is: 9,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.64 : 21,463.04 = 6,512 : x
  2. Step 2: Convert to fraction form
    14,308.64/21,463.04 = 6,512/x
  3. Step 3: Cross multiply
    14,308.64x = 21,463.04 × 6,512
  4. Step 4: Simplify right side
    14,308.64x = 139,767,316.48
  5. Step 5: Solve for x
    x = 139,767,316.48/14,308.64
  6. Step 6: Final answer
    x = 9,768.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.