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Finding the Fourth Proportional to 27,784.46, 41,668.02 and 9,312.14

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Solution

The fourth proportional to 27,784.46, 41,668.02 and 9,312.14 is: 13,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.46 : 41,668.02 = 9,312.14 : x
  2. Step 2: Convert to fraction form
    27,784.46/41,668.02 = 9,312.14/x
  3. Step 3: Cross multiply
    27,784.46x = 41,668.02 × 9,312.14
  4. Step 4: Simplify right side
    27,784.46x = 388,018,435.76
  5. Step 5: Solve for x
    x = 388,018,435.76/27,784.46
  6. Step 6: Final answer
    x = 13,965.30

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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.