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Finding the Fourth Proportional to 24,574.75, 36,862.38 and 6,106.75

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Solution

The fourth proportional to 24,574.75, 36,862.38 and 6,106.75 is: 9,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.75 : 36,862.38 = 6,106.75 : x
  2. Step 2: Convert to fraction form
    24,574.75/36,862.38 = 6,106.75/x
  3. Step 3: Cross multiply
    24,574.75x = 36,862.38 × 6,106.75
  4. Step 4: Simplify right side
    24,574.75x = 225,109,339.07
  5. Step 5: Solve for x
    x = 225,109,339.07/24,574.75
  6. Step 6: Final answer
    x = 9,160.19

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1.5x scale

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.