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Finding the Fourth Proportional to 18,283.68, 27,411.84 and 9,513.12

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Solution

The fourth proportional to 18,283.68, 27,411.84 and 9,513.12 is: 14,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283.68 : 27,411.84 = 9,513.12 : x
  2. Step 2: Convert to fraction form
    18,283.68/27,411.84 = 9,513.12/x
  3. Step 3: Cross multiply
    18,283.68x = 27,411.84 × 9,513.12
  4. Step 4: Simplify right side
    18,283.68x = 260,772,123.34
  5. Step 5: Solve for x
    x = 260,772,123.34/18,283.68
  6. Step 6: Final answer
    x = 14,262.56

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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.