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Finding the Fourth Proportional to 10,611.51, 14,633.64 and 7,024.83

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Solution

The fourth proportional to 10,611.51, 14,633.64 and 7,024.83 is: 9,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.51 : 14,633.64 = 7,024.83 : x
  2. Step 2: Convert to fraction form
    10,611.51/14,633.64 = 7,024.83/x
  3. Step 3: Cross multiply
    10,611.51x = 14,633.64 × 7,024.83
  4. Step 4: Simplify right side
    10,611.51x = 102,798,833.28
  5. Step 5: Solve for x
    x = 102,798,833.28/10,611.51
  6. Step 6: Final answer
    x = 9,687.48

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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.