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Finding the Fourth Proportional to 12,772.30, 17,623.14 and 7,466.08

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Solution

The fourth proportional to 12,772.30, 17,623.14 and 7,466.08 is: 10,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.30 : 17,623.14 = 7,466.08 : x
  2. Step 2: Convert to fraction form
    12,772.30/17,623.14 = 7,466.08/x
  3. Step 3: Cross multiply
    12,772.30x = 17,623.14 × 7,466.08
  4. Step 4: Simplify right side
    12,772.30x = 131,575,773.09
  5. Step 5: Solve for x
    x = 131,575,773.09/12,772.30
  6. Step 6: Final answer
    x = 10,301.65

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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.