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Finding the Fourth Proportional to 7,029.64, 10,520.10 and 4,254.64

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Solution

The fourth proportional to 7,029.64, 10,520.10 and 4,254.64 is: 6,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.64 : 10,520.10 = 4,254.64 : x
  2. Step 2: Convert to fraction form
    7,029.64/10,520.10 = 4,254.64/x
  3. Step 3: Cross multiply
    7,029.64x = 10,520.10 × 4,254.64
  4. Step 4: Simplify right side
    7,029.64x = 44,759,238.26
  5. Step 5: Solve for x
    x = 44,759,238.26/7,029.64
  6. Step 6: Final answer
    x = 6,367.22

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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.