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Finding the Fourth Proportional to 7,611.59, 10,502.94 and 4,254.24

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Solution

The fourth proportional to 7,611.59, 10,502.94 and 4,254.24 is: 5,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.59 : 10,502.94 = 4,254.24 : x
  2. Step 2: Convert to fraction form
    7,611.59/10,502.94 = 4,254.24/x
  3. Step 3: Cross multiply
    7,611.59x = 10,502.94 × 4,254.24
  4. Step 4: Simplify right side
    7,611.59x = 44,682,027.47
  5. Step 5: Solve for x
    x = 44,682,027.47/7,611.59
  6. Step 6: Final answer
    x = 5,870.27

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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.