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Finding the Fourth Proportional to 10,823.54, 16,250.23 and 7,483.58

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Solution

The fourth proportional to 10,823.54, 16,250.23 and 7,483.58 is: 11,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.54 : 16,250.23 = 7,483.58 : x
  2. Step 2: Convert to fraction form
    10,823.54/16,250.23 = 7,483.58/x
  3. Step 3: Cross multiply
    10,823.54x = 16,250.23 × 7,483.58
  4. Step 4: Simplify right side
    10,823.54x = 121,609,909.92
  5. Step 5: Solve for x
    x = 121,609,909.92/10,823.54
  6. Step 6: Final answer
    x = 11,235.69

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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.