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Finding the Fourth Proportional to 12,332.81, 18,503.84 and 7,405.98

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Solution

The fourth proportional to 12,332.81, 18,503.84 and 7,405.98 is: 11,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.81 : 18,503.84 = 7,405.98 : x
  2. Step 2: Convert to fraction form
    12,332.81/18,503.84 = 7,405.98/x
  3. Step 3: Cross multiply
    12,332.81x = 18,503.84 × 7,405.98
  4. Step 4: Simplify right side
    12,332.81x = 137,039,122.17
  5. Step 5: Solve for x
    x = 137,039,122.17/12,332.81
  6. Step 6: Final answer
    x = 11,111.75

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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.