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Finding the Fourth Proportional to 7,050.58, 9,729.16 and 4,217.40

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Solution

The fourth proportional to 7,050.58, 9,729.16 and 4,217.40 is: 5,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.58 : 9,729.16 = 4,217.40 : x
  2. Step 2: Convert to fraction form
    7,050.58/9,729.16 = 4,217.40/x
  3. Step 3: Cross multiply
    7,050.58x = 9,729.16 × 4,217.40
  4. Step 4: Simplify right side
    7,050.58x = 41,031,759.38
  5. Step 5: Solve for x
    x = 41,031,759.38/7,050.58
  6. Step 6: Final answer
    x = 5,819.63

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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.