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Finding the Fourth Proportional to 7,541.41, 10,411.72 and 5,859.64

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Solution

The fourth proportional to 7,541.41, 10,411.72 and 5,859.64 is: 8,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.41 : 10,411.72 = 5,859.64 : x
  2. Step 2: Convert to fraction form
    7,541.41/10,411.72 = 5,859.64/x
  3. Step 3: Cross multiply
    7,541.41x = 10,411.72 × 5,859.64
  4. Step 4: Simplify right side
    7,541.41x = 61,008,905.17
  5. Step 5: Solve for x
    x = 61,008,905.17/7,541.41
  6. Step 6: Final answer
    x = 8,089.86

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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.