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Finding the Fourth Proportional to 12,567.43, 17,343.06 and 6,978.43

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Solution

The fourth proportional to 12,567.43, 17,343.06 and 6,978.43 is: 9,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.43 : 17,343.06 = 6,978.43 : x
  2. Step 2: Convert to fraction form
    12,567.43/17,343.06 = 6,978.43/x
  3. Step 3: Cross multiply
    12,567.43x = 17,343.06 × 6,978.43
  4. Step 4: Simplify right side
    12,567.43x = 121,027,330.20
  5. Step 5: Solve for x
    x = 121,027,330.20/12,567.43
  6. Step 6: Final answer
    x = 9,630.24

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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.