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Finding the Fourth Proportional to 14,095.91, 19,452.87 and 7,808.29

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Solution

The fourth proportional to 14,095.91, 19,452.87 and 7,808.29 is: 10,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.91 : 19,452.87 = 7,808.29 : x
  2. Step 2: Convert to fraction form
    14,095.91/19,452.87 = 7,808.29/x
  3. Step 3: Cross multiply
    14,095.91x = 19,452.87 × 7,808.29
  4. Step 4: Simplify right side
    14,095.91x = 151,893,601.66
  5. Step 5: Solve for x
    x = 151,893,601.66/14,095.91
  6. Step 6: Final answer
    x = 10,775.72

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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.