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Finding the Fourth Proportional to 6,343.24, 8,750.10 and 4,477

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Solution

The fourth proportional to 6,343.24, 8,750.10 and 4,477 is: 6,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.24 : 8,750.10 = 4,477 : x
  2. Step 2: Convert to fraction form
    6,343.24/8,750.10 = 4,477/x
  3. Step 3: Cross multiply
    6,343.24x = 8,750.10 × 4,477
  4. Step 4: Simplify right side
    6,343.24x = 39,174,197.70
  5. Step 5: Solve for x
    x = 39,174,197.70/6,343.24
  6. Step 6: Final answer
    x = 6,175.74

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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.