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Finding the Fourth Proportional to 7,782.74, 10,741.10 and 4,426.06

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Solution

The fourth proportional to 7,782.74, 10,741.10 and 4,426.06 is: 6,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.74 : 10,741.10 = 4,426.06 : x
  2. Step 2: Convert to fraction form
    7,782.74/10,741.10 = 4,426.06/x
  3. Step 3: Cross multiply
    7,782.74x = 10,741.10 × 4,426.06
  4. Step 4: Simplify right side
    7,782.74x = 47,540,704.08
  5. Step 5: Solve for x
    x = 47,540,704.08/7,782.74
  6. Step 6: Final answer
    x = 6,108.48

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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.