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Finding the Fourth Proportional to 12,722, 17,557.45 and 7,134.08

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Solution

The fourth proportional to 12,722, 17,557.45 and 7,134.08 is: 9,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722 : 17,557.45 = 7,134.08 : x
  2. Step 2: Convert to fraction form
    12,722/17,557.45 = 7,134.08/x
  3. Step 3: Cross multiply
    12,722x = 17,557.45 × 7,134.08
  4. Step 4: Simplify right side
    12,722x = 125,256,252.90
  5. Step 5: Solve for x
    x = 125,256,252.90/12,722
  6. Step 6: Final answer
    x = 9,845.64

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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.