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Finding the Fourth Proportional to 7,057.26, 9,742.15 and 4,941.11

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Solution

The fourth proportional to 7,057.26, 9,742.15 and 4,941.11 is: 6,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.26 : 9,742.15 = 4,941.11 : x
  2. Step 2: Convert to fraction form
    7,057.26/9,742.15 = 4,941.11/x
  3. Step 3: Cross multiply
    7,057.26x = 9,742.15 × 4,941.11
  4. Step 4: Simplify right side
    7,057.26x = 48,137,018.66
  5. Step 5: Solve for x
    x = 48,137,018.66/7,057.26
  6. Step 6: Final answer
    x = 6,820.92

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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.