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Finding the Fourth Proportional to 10,734.29, 14,806.51 and 7,754.51

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Solution

The fourth proportional to 10,734.29, 14,806.51 and 7,754.51 is: 10,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.29 : 14,806.51 = 7,754.51 : x
  2. Step 2: Convert to fraction form
    10,734.29/14,806.51 = 7,754.51/x
  3. Step 3: Cross multiply
    10,734.29x = 14,806.51 × 7,754.51
  4. Step 4: Simplify right side
    10,734.29x = 114,817,136.44
  5. Step 5: Solve for x
    x = 114,817,136.44/10,734.29
  6. Step 6: Final answer
    x = 10,696.29

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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.