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Finding the Fourth Proportional to 7,813.53, 11,709.36 and 4,525.74

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Solution

The fourth proportional to 7,813.53, 11,709.36 and 4,525.74 is: 6,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.53 : 11,709.36 = 4,525.74 : x
  2. Step 2: Convert to fraction form
    7,813.53/11,709.36 = 4,525.74/x
  3. Step 3: Cross multiply
    7,813.53x = 11,709.36 × 4,525.74
  4. Step 4: Simplify right side
    7,813.53x = 52,993,518.93
  5. Step 5: Solve for x
    x = 52,993,518.93/7,813.53
  6. Step 6: Final answer
    x = 6,782.28

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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.