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Finding the Fourth Proportional to 10,508.51, 15,752.11 and 6,813.08

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Solution

The fourth proportional to 10,508.51, 15,752.11 and 6,813.08 is: 10,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.51 : 15,752.11 = 6,813.08 : x
  2. Step 2: Convert to fraction form
    10,508.51/15,752.11 = 6,813.08/x
  3. Step 3: Cross multiply
    10,508.51x = 15,752.11 × 6,813.08
  4. Step 4: Simplify right side
    10,508.51x = 107,320,385.60
  5. Step 5: Solve for x
    x = 107,320,385.60/10,508.51
  6. Step 6: Final answer
    x = 10,212.71

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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.