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Finding the Fourth Proportional to 17,510.28, 26,275.42 and 6,415.50

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Solution

The fourth proportional to 17,510.28, 26,275.42 and 6,415.50 is: 9,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,510.28 : 26,275.42 = 6,415.50 : x
  2. Step 2: Convert to fraction form
    17,510.28/26,275.42 = 6,415.50/x
  3. Step 3: Cross multiply
    17,510.28x = 26,275.42 × 6,415.50
  4. Step 4: Simplify right side
    17,510.28x = 168,569,957.01
  5. Step 5: Solve for x
    x = 168,569,957.01/17,510.28
  6. Step 6: Final answer
    x = 9,626.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.