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Finding the Fourth Proportional to 19,710.96, 27,201 and 10,758.28

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Solution

The fourth proportional to 19,710.96, 27,201 and 10,758.28 is: 14,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.96 : 27,201 = 10,758.28 : x
  2. Step 2: Convert to fraction form
    19,710.96/27,201 = 10,758.28/x
  3. Step 3: Cross multiply
    19,710.96x = 27,201 × 10,758.28
  4. Step 4: Simplify right side
    19,710.96x = 292,635,974.28
  5. Step 5: Solve for x
    x = 292,635,974.28/19,710.96
  6. Step 6: Final answer
    x = 14,846.36

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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.