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Finding the Fourth Proportional to 12,562.68, 17,344.02 and 7,853.34

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Solution

The fourth proportional to 12,562.68, 17,344.02 and 7,853.34 is: 10,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.68 : 17,344.02 = 7,853.34 : x
  2. Step 2: Convert to fraction form
    12,562.68/17,344.02 = 7,853.34/x
  3. Step 3: Cross multiply
    12,562.68x = 17,344.02 × 7,853.34
  4. Step 4: Simplify right side
    12,562.68x = 136,208,486.03
  5. Step 5: Solve for x
    x = 136,208,486.03/12,562.68
  6. Step 6: Final answer
    x = 10,842.31

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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.