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Finding the Fourth Proportional to 17,737.84, 24,478.36 and 9,780.34

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Solution

The fourth proportional to 17,737.84, 24,478.36 and 9,780.34 is: 13,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.84 : 24,478.36 = 9,780.34 : x
  2. Step 2: Convert to fraction form
    17,737.84/24,478.36 = 9,780.34/x
  3. Step 3: Cross multiply
    17,737.84x = 24,478.36 × 9,780.34
  4. Step 4: Simplify right side
    17,737.84x = 239,406,683.44
  5. Step 5: Solve for x
    x = 239,406,683.44/17,737.84
  6. Step 6: Final answer
    x = 13,496.95

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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.