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Finding the Fourth Proportional to 7,827.92, 10,798.92 and 4,514

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Solution

The fourth proportional to 7,827.92, 10,798.92 and 4,514 is: 6,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.92 : 10,798.92 = 4,514 : x
  2. Step 2: Convert to fraction form
    7,827.92/10,798.92 = 4,514/x
  3. Step 3: Cross multiply
    7,827.92x = 10,798.92 × 4,514
  4. Step 4: Simplify right side
    7,827.92x = 48,746,324.88
  5. Step 5: Solve for x
    x = 48,746,324.88/7,827.92
  6. Step 6: Final answer
    x = 6,227.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.