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Finding the Fourth Proportional to 18,569.60, 27,856.80 and 9,214.40

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Solution

The fourth proportional to 18,569.60, 27,856.80 and 9,214.40 is: 13,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569.60 : 27,856.80 = 9,214.40 : x
  2. Step 2: Convert to fraction form
    18,569.60/27,856.80 = 9,214.40/x
  3. Step 3: Cross multiply
    18,569.60x = 27,856.80 × 9,214.40
  4. Step 4: Simplify right side
    18,569.60x = 256,683,697.92
  5. Step 5: Solve for x
    x = 256,683,697.92/18,569.60
  6. Step 6: Final answer
    x = 13,822.79

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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.