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Finding the Fourth Proportional to 13,647.24, 18,831.86 and 7,678.78

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Solution

The fourth proportional to 13,647.24, 18,831.86 and 7,678.78 is: 10,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.24 : 18,831.86 = 7,678.78 : x
  2. Step 2: Convert to fraction form
    13,647.24/18,831.86 = 7,678.78/x
  3. Step 3: Cross multiply
    13,647.24x = 18,831.86 × 7,678.78
  4. Step 4: Simplify right side
    13,647.24x = 144,605,709.93
  5. Step 5: Solve for x
    x = 144,605,709.93/13,647.24
  6. Step 6: Final answer
    x = 10,595.97

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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.