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Finding the Fourth Proportional to 25,750, 35,510.70 and 16,804.36

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Solution

The fourth proportional to 25,750, 35,510.70 and 16,804.36 is: 23,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750 : 35,510.70 = 16,804.36 : x
  2. Step 2: Convert to fraction form
    25,750/35,510.70 = 16,804.36/x
  3. Step 3: Cross multiply
    25,750x = 35,510.70 × 16,804.36
  4. Step 4: Simplify right side
    25,750x = 596,734,586.65
  5. Step 5: Solve for x
    x = 596,734,586.65/25,750
  6. Step 6: Final answer
    x = 23,174.16

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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.