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Finding the Fourth Proportional to 9,165, 12,647.70 and 4,973.25

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Solution

The fourth proportional to 9,165, 12,647.70 and 4,973.25 is: 6,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165 : 12,647.70 = 4,973.25 : x
  2. Step 2: Convert to fraction form
    9,165/12,647.70 = 4,973.25/x
  3. Step 3: Cross multiply
    9,165x = 12,647.70 × 4,973.25
  4. Step 4: Simplify right side
    9,165x = 62,900,174.03
  5. Step 5: Solve for x
    x = 62,900,174.03/9,165
  6. Step 6: Final answer
    x = 6,863.09

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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.