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Finding the Fourth Proportional to 14,095.69, 19,452.69 and 7,808.06

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Solution

The fourth proportional to 14,095.69, 19,452.69 and 7,808.06 is: 10,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.69 : 19,452.69 = 7,808.06 : x
  2. Step 2: Convert to fraction form
    14,095.69/19,452.69 = 7,808.06/x
  3. Step 3: Cross multiply
    14,095.69x = 19,452.69 × 7,808.06
  4. Step 4: Simplify right side
    14,095.69x = 151,887,770.68
  5. Step 5: Solve for x
    x = 151,887,770.68/14,095.69
  6. Step 6: Final answer
    x = 10,775.48

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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.