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Finding the Fourth Proportional to 9,562.87, 13,193.07 and 7,050.95

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Solution

The fourth proportional to 9,562.87, 13,193.07 and 7,050.95 is: 9,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.87 : 13,193.07 = 7,050.95 : x
  2. Step 2: Convert to fraction form
    9,562.87/13,193.07 = 7,050.95/x
  3. Step 3: Cross multiply
    9,562.87x = 13,193.07 × 7,050.95
  4. Step 4: Simplify right side
    9,562.87x = 93,023,676.92
  5. Step 5: Solve for x
    x = 93,023,676.92/9,562.87
  6. Step 6: Final answer
    x = 9,727.59

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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.