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Finding the Fourth Proportional to 9,167.72, 12,646.62 and 5,804.60

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Solution

The fourth proportional to 9,167.72, 12,646.62 and 5,804.60 is: 8,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.72 : 12,646.62 = 5,804.60 : x
  2. Step 2: Convert to fraction form
    9,167.72/12,646.62 = 5,804.60/x
  3. Step 3: Cross multiply
    9,167.72x = 12,646.62 × 5,804.60
  4. Step 4: Simplify right side
    9,167.72x = 73,408,507.22
  5. Step 5: Solve for x
    x = 73,408,507.22/9,167.72
  6. Step 6: Final answer
    x = 8,007.29

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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.