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Finding the Fourth Proportional to 18,285.64, 25,234.14 and 9,902.14

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Solution

The fourth proportional to 18,285.64, 25,234.14 and 9,902.14 is: 13,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.64 : 25,234.14 = 9,902.14 : x
  2. Step 2: Convert to fraction form
    18,285.64/25,234.14 = 9,902.14/x
  3. Step 3: Cross multiply
    18,285.64x = 25,234.14 × 9,902.14
  4. Step 4: Simplify right side
    18,285.64x = 249,871,987.06
  5. Step 5: Solve for x
    x = 249,871,987.06/18,285.64
  6. Step 6: Final answer
    x = 13,664.93

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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.