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Finding the Fourth Proportional to 12,596.52, 18,895.14 and 7,398.84

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Solution

The fourth proportional to 12,596.52, 18,895.14 and 7,398.84 is: 11,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.52 : 18,895.14 = 7,398.84 : x
  2. Step 2: Convert to fraction form
    12,596.52/18,895.14 = 7,398.84/x
  3. Step 3: Cross multiply
    12,596.52x = 18,895.14 × 7,398.84
  4. Step 4: Simplify right side
    12,596.52x = 139,802,117.64
  5. Step 5: Solve for x
    x = 139,802,117.64/12,596.52
  6. Step 6: Final answer
    x = 11,098.47

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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.