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Finding the Fourth Proportional to 8,510.91, 11,754.02 and 7,583.26

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Solution

The fourth proportional to 8,510.91, 11,754.02 and 7,583.26 is: 10,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.91 : 11,754.02 = 7,583.26 : x
  2. Step 2: Convert to fraction form
    8,510.91/11,754.02 = 7,583.26/x
  3. Step 3: Cross multiply
    8,510.91x = 11,754.02 × 7,583.26
  4. Step 4: Simplify right side
    8,510.91x = 89,133,779.28
  5. Step 5: Solve for x
    x = 89,133,779.28/8,510.91
  6. Step 6: Final answer
    x = 10,472.88

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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.