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Finding the Fourth Proportional to 18,416.40, 27,628.20 and 7,886.40

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Solution

The fourth proportional to 18,416.40, 27,628.20 and 7,886.40 is: 11,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416.40 : 27,628.20 = 7,886.40 : x
  2. Step 2: Convert to fraction form
    18,416.40/27,628.20 = 7,886.40/x
  3. Step 3: Cross multiply
    18,416.40x = 27,628.20 × 7,886.40
  4. Step 4: Simplify right side
    18,416.40x = 217,887,036.48
  5. Step 5: Solve for x
    x = 217,887,036.48/18,416.40
  6. Step 6: Final answer
    x = 11,831.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.