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Finding the Fourth Proportional to 12,466.56, 17,203.14 and 6,877.56

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Solution

The fourth proportional to 12,466.56, 17,203.14 and 6,877.56 is: 9,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.56 : 17,203.14 = 6,877.56 : x
  2. Step 2: Convert to fraction form
    12,466.56/17,203.14 = 6,877.56/x
  3. Step 3: Cross multiply
    12,466.56x = 17,203.14 × 6,877.56
  4. Step 4: Simplify right side
    12,466.56x = 118,315,627.54
  5. Step 5: Solve for x
    x = 118,315,627.54/12,466.56
  6. Step 6: Final answer
    x = 9,490.64

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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.