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Finding the Fourth Proportional to 17,737.65, 24,479.43 and 9,780.63

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Solution

The fourth proportional to 17,737.65, 24,479.43 and 9,780.63 is: 13,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.65 : 24,479.43 = 9,780.63 : x
  2. Step 2: Convert to fraction form
    17,737.65/24,479.43 = 9,780.63/x
  3. Step 3: Cross multiply
    17,737.65x = 24,479.43 × 9,780.63
  4. Step 4: Simplify right side
    17,737.65x = 239,424,247.44
  5. Step 5: Solve for x
    x = 239,424,247.44/17,737.65
  6. Step 6: Final answer
    x = 13,498.08

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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.