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Finding the Fourth Proportional to 11,733.71, 17,585.78 and 8,384.51

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Solution

The fourth proportional to 11,733.71, 17,585.78 and 8,384.51 is: 12,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.71 : 17,585.78 = 8,384.51 : x
  2. Step 2: Convert to fraction form
    11,733.71/17,585.78 = 8,384.51/x
  3. Step 3: Cross multiply
    11,733.71x = 17,585.78 × 8,384.51
  4. Step 4: Simplify right side
    11,733.71x = 147,448,127.31
  5. Step 5: Solve for x
    x = 147,448,127.31/11,733.71
  6. Step 6: Final answer
    x = 12,566.20

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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.