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Finding the Fourth Proportional to 11,603.89, 16,014.16 and 6,568.09

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Solution

The fourth proportional to 11,603.89, 16,014.16 and 6,568.09 is: 9,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.89 : 16,014.16 = 6,568.09 : x
  2. Step 2: Convert to fraction form
    11,603.89/16,014.16 = 6,568.09/x
  3. Step 3: Cross multiply
    11,603.89x = 16,014.16 × 6,568.09
  4. Step 4: Simplify right side
    11,603.89x = 105,182,484.19
  5. Step 5: Solve for x
    x = 105,182,484.19/11,603.89
  6. Step 6: Final answer
    x = 9,064.42

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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.