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Finding the Fourth Proportional to 10,729.61, 14,806.07 and 6,012.98

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Solution

The fourth proportional to 10,729.61, 14,806.07 and 6,012.98 is: 8,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.61 : 14,806.07 = 6,012.98 : x
  2. Step 2: Convert to fraction form
    10,729.61/14,806.07 = 6,012.98/x
  3. Step 3: Cross multiply
    10,729.61x = 14,806.07 × 6,012.98
  4. Step 4: Simplify right side
    10,729.61x = 89,028,643.14
  5. Step 5: Solve for x
    x = 89,028,643.14/10,729.61
  6. Step 6: Final answer
    x = 8,297.47

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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.