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Finding the Fourth Proportional to 12,857.70, 17,743.28 and 7,192.47

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Solution

The fourth proportional to 12,857.70, 17,743.28 and 7,192.47 is: 9,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.70 : 17,743.28 = 7,192.47 : x
  2. Step 2: Convert to fraction form
    12,857.70/17,743.28 = 7,192.47/x
  3. Step 3: Cross multiply
    12,857.70x = 17,743.28 × 7,192.47
  4. Step 4: Simplify right side
    12,857.70x = 127,618,009.10
  5. Step 5: Solve for x
    x = 127,618,009.10/12,857.70
  6. Step 6: Final answer
    x = 9,925.42

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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.