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Finding the Fourth Proportional to 15,786, 21,783.42 and 9,412.11

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Solution

The fourth proportional to 15,786, 21,783.42 and 9,412.11 is: 12,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 21,783.42 = 9,412.11 : x
  2. Step 2: Convert to fraction form
    15,786/21,783.42 = 9,412.11/x
  3. Step 3: Cross multiply
    15,786x = 21,783.42 × 9,412.11
  4. Step 4: Simplify right side
    15,786x = 205,027,945.22
  5. Step 5: Solve for x
    x = 205,027,945.22/15,786
  6. Step 6: Final answer
    x = 12,987.96

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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.