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Finding the Fourth Proportional to 12,002.68, 16,564.53 and 6,698.53

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Solution

The fourth proportional to 12,002.68, 16,564.53 and 6,698.53 is: 9,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.68 : 16,564.53 = 6,698.53 : x
  2. Step 2: Convert to fraction form
    12,002.68/16,564.53 = 6,698.53/x
  3. Step 3: Cross multiply
    12,002.68x = 16,564.53 × 6,698.53
  4. Step 4: Simplify right side
    12,002.68x = 110,958,001.14
  5. Step 5: Solve for x
    x = 110,958,001.14/12,002.68
  6. Step 6: Final answer
    x = 9,244.44

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1.5x scale

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.