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Finding the Fourth Proportional to 18,140, 27,214.08 and 6,453.12

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Solution

The fourth proportional to 18,140, 27,214.08 and 6,453.12 is: 9,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140 : 27,214.08 = 6,453.12 : x
  2. Step 2: Convert to fraction form
    18,140/27,214.08 = 6,453.12/x
  3. Step 3: Cross multiply
    18,140x = 27,214.08 × 6,453.12
  4. Step 4: Simplify right side
    18,140x = 175,615,723.93
  5. Step 5: Solve for x
    x = 175,615,723.93/18,140
  6. Step 6: Final answer
    x = 9,681.13

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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.