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Finding the Fourth Proportional to 17,596.36, 24,281.94 and 9,637

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Solution

The fourth proportional to 17,596.36, 24,281.94 and 9,637 is: 13,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596.36 : 24,281.94 = 9,637 : x
  2. Step 2: Convert to fraction form
    17,596.36/24,281.94 = 9,637/x
  3. Step 3: Cross multiply
    17,596.36x = 24,281.94 × 9,637
  4. Step 4: Simplify right side
    17,596.36x = 234,005,055.78
  5. Step 5: Solve for x
    x = 234,005,055.78/17,596.36
  6. Step 6: Final answer
    x = 13,298.49

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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.