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Finding the Fourth Proportional to 10,524.58, 15,771.82 and 7,729.32

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Solution

The fourth proportional to 10,524.58, 15,771.82 and 7,729.32 is: 11,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.58 : 15,771.82 = 7,729.32 : x
  2. Step 2: Convert to fraction form
    10,524.58/15,771.82 = 7,729.32/x
  3. Step 3: Cross multiply
    10,524.58x = 15,771.82 × 7,729.32
  4. Step 4: Simplify right side
    10,524.58x = 121,905,443.76
  5. Step 5: Solve for x
    x = 121,905,443.76/10,524.58
  6. Step 6: Final answer
    x = 11,582.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.