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Finding the Fourth Proportional to 10,754.88, 14,835.29 and 6,769.07

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Solution

The fourth proportional to 10,754.88, 14,835.29 and 6,769.07 is: 9,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.88 : 14,835.29 = 6,769.07 : x
  2. Step 2: Convert to fraction form
    10,754.88/14,835.29 = 6,769.07/x
  3. Step 3: Cross multiply
    10,754.88x = 14,835.29 × 6,769.07
  4. Step 4: Simplify right side
    10,754.88x = 100,421,116.48
  5. Step 5: Solve for x
    x = 100,421,116.48/10,754.88
  6. Step 6: Final answer
    x = 9,337.26

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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.