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Finding the Fourth Proportional to 27,746, 41,623.14 and 10,214.48

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Solution

The fourth proportional to 27,746, 41,623.14 and 10,214.48 is: 15,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746 : 41,623.14 = 10,214.48 : x
  2. Step 2: Convert to fraction form
    27,746/41,623.14 = 10,214.48/x
  3. Step 3: Cross multiply
    27,746x = 41,623.14 × 10,214.48
  4. Step 4: Simplify right side
    27,746x = 425,158,731.07
  5. Step 5: Solve for x
    x = 425,158,731.07/27,746
  6. Step 6: Final answer
    x = 15,323.24

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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.