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Finding the Fourth Proportional to 12,560.42, 17,334.24 and 7,255.64

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Solution

The fourth proportional to 12,560.42, 17,334.24 and 7,255.64 is: 10,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560.42 : 17,334.24 = 7,255.64 : x
  2. Step 2: Convert to fraction form
    12,560.42/17,334.24 = 7,255.64/x
  3. Step 3: Cross multiply
    12,560.42x = 17,334.24 × 7,255.64
  4. Step 4: Simplify right side
    12,560.42x = 125,771,005.11
  5. Step 5: Solve for x
    x = 125,771,005.11/12,560.42
  6. Step 6: Final answer
    x = 10,013.28

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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.