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Finding the Fourth Proportional to 21,959.88, 32,943 and 7,165.72

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Solution

The fourth proportional to 21,959.88, 32,943 and 7,165.72 is: 10,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959.88 : 32,943 = 7,165.72 : x
  2. Step 2: Convert to fraction form
    21,959.88/32,943 = 7,165.72/x
  3. Step 3: Cross multiply
    21,959.88x = 32,943 × 7,165.72
  4. Step 4: Simplify right side
    21,959.88x = 236,060,313.96
  5. Step 5: Solve for x
    x = 236,060,313.96/21,959.88
  6. Step 6: Final answer
    x = 10,749.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.