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Finding the Fourth Proportional to 12,467.56, 17,205 and 6,802.34

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Solution

The fourth proportional to 12,467.56, 17,205 and 6,802.34 is: 9,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.56 : 17,205 = 6,802.34 : x
  2. Step 2: Convert to fraction form
    12,467.56/17,205 = 6,802.34/x
  3. Step 3: Cross multiply
    12,467.56x = 17,205 × 6,802.34
  4. Step 4: Simplify right side
    12,467.56x = 117,034,259.70
  5. Step 5: Solve for x
    x = 117,034,259.70/12,467.56
  6. Step 6: Final answer
    x = 9,387.10

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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.