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Finding the Fourth Proportional to 24,533.63, 36,806.57 and 9,737.65

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Solution

The fourth proportional to 24,533.63, 36,806.57 and 9,737.65 is: 14,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.63 : 36,806.57 = 9,737.65 : x
  2. Step 2: Convert to fraction form
    24,533.63/36,806.57 = 9,737.65/x
  3. Step 3: Cross multiply
    24,533.63x = 36,806.57 × 9,737.65
  4. Step 4: Simplify right side
    24,533.63x = 358,409,496.36
  5. Step 5: Solve for x
    x = 358,409,496.36/24,533.63
  6. Step 6: Final answer
    x = 14,608.91

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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.