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Finding the Fourth Proportional to 27,898.77, 41,848.22 and 6,838.91

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Solution

The fourth proportional to 27,898.77, 41,848.22 and 6,838.91 is: 10,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.77 : 41,848.22 = 6,838.91 : x
  2. Step 2: Convert to fraction form
    27,898.77/41,848.22 = 6,838.91/x
  3. Step 3: Cross multiply
    27,898.77x = 41,848.22 × 6,838.91
  4. Step 4: Simplify right side
    27,898.77x = 286,196,018.10
  5. Step 5: Solve for x
    x = 286,196,018.10/27,898.77
  6. Step 6: Final answer
    x = 10,258.37

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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.