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Finding the Fourth Proportional to 4,729.68, 6,523.89 and 4,569.30

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Solution

The fourth proportional to 4,729.68, 6,523.89 and 4,569.30 is: 6,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.68 : 6,523.89 = 4,569.30 : x
  2. Step 2: Convert to fraction form
    4,729.68/6,523.89 = 4,569.30/x
  3. Step 3: Cross multiply
    4,729.68x = 6,523.89 × 4,569.30
  4. Step 4: Simplify right side
    4,729.68x = 29,809,610.58
  5. Step 5: Solve for x
    x = 29,809,610.58/4,729.68
  6. Step 6: Final answer
    x = 6,302.67

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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.