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Finding the Fourth Proportional to 12,468.70, 17,207.20 and 7,164.58

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Solution

The fourth proportional to 12,468.70, 17,207.20 and 7,164.58 is: 9,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.70 : 17,207.20 = 7,164.58 : x
  2. Step 2: Convert to fraction form
    12,468.70/17,207.20 = 7,164.58/x
  3. Step 3: Cross multiply
    12,468.70x = 17,207.20 × 7,164.58
  4. Step 4: Simplify right side
    12,468.70x = 123,282,360.98
  5. Step 5: Solve for x
    x = 123,282,360.98/12,468.70
  6. Step 6: Final answer
    x = 9,887.35

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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.