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Finding the Fourth Proportional to 12,897.92, 17,809.64 and 10,508.24

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Solution

The fourth proportional to 12,897.92, 17,809.64 and 10,508.24 is: 14,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.92 : 17,809.64 = 10,508.24 : x
  2. Step 2: Convert to fraction form
    12,897.92/17,809.64 = 10,508.24/x
  3. Step 3: Cross multiply
    12,897.92x = 17,809.64 × 10,508.24
  4. Step 4: Simplify right side
    12,897.92x = 187,147,971.43
  5. Step 5: Solve for x
    x = 187,147,971.43/12,897.92
  6. Step 6: Final answer
    x = 14,509.93

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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.