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Finding the Fourth Proportional to 7,541.88, 10,407.84 and 4,184.92

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Solution

The fourth proportional to 7,541.88, 10,407.84 and 4,184.92 is: 5,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.88 : 10,407.84 = 4,184.92 : x
  2. Step 2: Convert to fraction form
    7,541.88/10,407.84 = 4,184.92/x
  3. Step 3: Cross multiply
    7,541.88x = 10,407.84 × 4,184.92
  4. Step 4: Simplify right side
    7,541.88x = 43,555,977.77
  5. Step 5: Solve for x
    x = 43,555,977.77/7,541.88
  6. Step 6: Final answer
    x = 5,775.21

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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.