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Finding the Fourth Proportional to 11,524.66, 15,905.23 and 7,051.39

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Solution

The fourth proportional to 11,524.66, 15,905.23 and 7,051.39 is: 9,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.66 : 15,905.23 = 7,051.39 : x
  2. Step 2: Convert to fraction form
    11,524.66/15,905.23 = 7,051.39/x
  3. Step 3: Cross multiply
    11,524.66x = 15,905.23 × 7,051.39
  4. Step 4: Simplify right side
    11,524.66x = 112,153,962.14
  5. Step 5: Solve for x
    x = 112,153,962.14/11,524.66
  6. Step 6: Final answer
    x = 9,731.65

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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.