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Finding the Fourth Proportional to 13,497.81, 18,652.71 and 9,733.33

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Solution

The fourth proportional to 13,497.81, 18,652.71 and 9,733.33 is: 13,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.81 : 18,652.71 = 9,733.33 : x
  2. Step 2: Convert to fraction form
    13,497.81/18,652.71 = 9,733.33/x
  3. Step 3: Cross multiply
    13,497.81x = 18,652.71 × 9,733.33
  4. Step 4: Simplify right side
    13,497.81x = 181,552,981.82
  5. Step 5: Solve for x
    x = 181,552,981.82/13,497.81
  6. Step 6: Final answer
    x = 13,450.55

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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.