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Finding the Fourth Proportional to 27,807.68, 41,710.44 and 10,277.12

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Solution

The fourth proportional to 27,807.68, 41,710.44 and 10,277.12 is: 15,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.68 : 41,710.44 = 10,277.12 : x
  2. Step 2: Convert to fraction form
    27,807.68/41,710.44 = 10,277.12/x
  3. Step 3: Cross multiply
    27,807.68x = 41,710.44 × 10,277.12
  4. Step 4: Simplify right side
    27,807.68x = 428,663,197.13
  5. Step 5: Solve for x
    x = 428,663,197.13/27,807.68
  6. Step 6: Final answer
    x = 15,415.28

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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.