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Finding the Fourth Proportional to 14,119.17, 19,485.53 and 7,831.54

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Solution

The fourth proportional to 14,119.17, 19,485.53 and 7,831.54 is: 10,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.17 : 19,485.53 = 7,831.54 : x
  2. Step 2: Convert to fraction form
    14,119.17/19,485.53 = 7,831.54/x
  3. Step 3: Cross multiply
    14,119.17x = 19,485.53 × 7,831.54
  4. Step 4: Simplify right side
    14,119.17x = 152,601,707.62
  5. Step 5: Solve for x
    x = 152,601,707.62/14,119.17
  6. Step 6: Final answer
    x = 10,808.12

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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.