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Finding the Fourth Proportional to 5,411.94, 7,461.63 and 4,405.38

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Solution

The fourth proportional to 5,411.94, 7,461.63 and 4,405.38 is: 6,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.94 : 7,461.63 = 4,405.38 : x
  2. Step 2: Convert to fraction form
    5,411.94/7,461.63 = 4,405.38/x
  3. Step 3: Cross multiply
    5,411.94x = 7,461.63 × 4,405.38
  4. Step 4: Simplify right side
    5,411.94x = 32,871,315.57
  5. Step 5: Solve for x
    x = 32,871,315.57/5,411.94
  6. Step 6: Final answer
    x = 6,073.85

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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.