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Finding the Fourth Proportional to 9,541.17, 13,171.76 and 7,411.93

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Solution

The fourth proportional to 9,541.17, 13,171.76 and 7,411.93 is: 10,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.17 : 13,171.76 = 7,411.93 : x
  2. Step 2: Convert to fraction form
    9,541.17/13,171.76 = 7,411.93/x
  3. Step 3: Cross multiply
    9,541.17x = 13,171.76 × 7,411.93
  4. Step 4: Simplify right side
    9,541.17x = 97,628,163.10
  5. Step 5: Solve for x
    x = 97,628,163.10/9,541.17
  6. Step 6: Final answer
    x = 10,232.31

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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.