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Finding the Fourth Proportional to 13,773.86, 19,007.85 and 7,806.66

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Solution

The fourth proportional to 13,773.86, 19,007.85 and 7,806.66 is: 10,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.86 : 19,007.85 = 7,806.66 : x
  2. Step 2: Convert to fraction form
    13,773.86/19,007.85 = 7,806.66/x
  3. Step 3: Cross multiply
    13,773.86x = 19,007.85 × 7,806.66
  4. Step 4: Simplify right side
    13,773.86x = 148,387,727.24
  5. Step 5: Solve for x
    x = 148,387,727.24/13,773.86
  6. Step 6: Final answer
    x = 10,773.14

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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.