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Finding the Fourth Proportional to 11,510.94, 15,884.94 and 6,475.16

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Solution

The fourth proportional to 11,510.94, 15,884.94 and 6,475.16 is: 8,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.94 : 15,884.94 = 6,475.16 : x
  2. Step 2: Convert to fraction form
    11,510.94/15,884.94 = 6,475.16/x
  3. Step 3: Cross multiply
    11,510.94x = 15,884.94 × 6,475.16
  4. Step 4: Simplify right side
    11,510.94x = 102,857,472.19
  5. Step 5: Solve for x
    x = 102,857,472.19/11,510.94
  6. Step 6: Final answer
    x = 8,935.63

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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.