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Finding the Fourth Proportional to 12,897.65, 19,346.48 and 8,514.08

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Solution

The fourth proportional to 12,897.65, 19,346.48 and 8,514.08 is: 12,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.65 : 19,346.48 = 8,514.08 : x
  2. Step 2: Convert to fraction form
    12,897.65/19,346.48 = 8,514.08/x
  3. Step 3: Cross multiply
    12,897.65x = 19,346.48 × 8,514.08
  4. Step 4: Simplify right side
    12,897.65x = 164,717,474.08
  5. Step 5: Solve for x
    x = 164,717,474.08/12,897.65
  6. Step 6: Final answer
    x = 12,771.12

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.