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Finding the Fourth Proportional to 10,660.90, 14,713.10 and 7,967.44

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Solution

The fourth proportional to 10,660.90, 14,713.10 and 7,967.44 is: 10,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.90 : 14,713.10 = 7,967.44 : x
  2. Step 2: Convert to fraction form
    10,660.90/14,713.10 = 7,967.44/x
  3. Step 3: Cross multiply
    10,660.90x = 14,713.10 × 7,967.44
  4. Step 4: Simplify right side
    10,660.90x = 117,225,741.46
  5. Step 5: Solve for x
    x = 117,225,741.46/10,660.90
  6. Step 6: Final answer
    x = 10,995.86

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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.