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Finding the Fourth Proportional to 27,569, 41,320.56 and 10,018.28

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Solution

The fourth proportional to 27,569, 41,320.56 and 10,018.28 is: 15,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569 : 41,320.56 = 10,018.28 : x
  2. Step 2: Convert to fraction form
    27,569/41,320.56 = 10,018.28/x
  3. Step 3: Cross multiply
    27,569x = 41,320.56 × 10,018.28
  4. Step 4: Simplify right side
    27,569x = 413,960,939.84
  5. Step 5: Solve for x
    x = 413,960,939.84/27,569
  6. Step 6: Final answer
    x = 15,015.45

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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.