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Finding the Fourth Proportional to 10,700.64, 16,033.68 and 6,588

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Solution

The fourth proportional to 10,700.64, 16,033.68 and 6,588 is: 9,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.64 : 16,033.68 = 6,588 : x
  2. Step 2: Convert to fraction form
    10,700.64/16,033.68 = 6,588/x
  3. Step 3: Cross multiply
    10,700.64x = 16,033.68 × 6,588
  4. Step 4: Simplify right side
    10,700.64x = 105,629,883.84
  5. Step 5: Solve for x
    x = 105,629,883.84/10,700.64
  6. Step 6: Final answer
    x = 9,871.36

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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.