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Finding the Fourth Proportional to 10,651.80, 14,681.09 and 7,994.58

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Solution

The fourth proportional to 10,651.80, 14,681.09 and 7,994.58 is: 11,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.80 : 14,681.09 = 7,994.58 : x
  2. Step 2: Convert to fraction form
    10,651.80/14,681.09 = 7,994.58/x
  3. Step 3: Cross multiply
    10,651.80x = 14,681.09 × 7,994.58
  4. Step 4: Simplify right side
    10,651.80x = 117,369,108.52
  5. Step 5: Solve for x
    x = 117,369,108.52/10,651.80
  6. Step 6: Final answer
    x = 11,018.71

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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.