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Finding the Fourth Proportional to 9,902.00, 13,664.55 and 5,425.63

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Solution

The fourth proportional to 9,902.00, 13,664.55 and 5,425.63 is: 7,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.00 : 13,664.55 = 5,425.63 : x
  2. Step 2: Convert to fraction form
    9,902.00/13,664.55 = 5,425.63/x
  3. Step 3: Cross multiply
    9,902.00x = 13,664.55 × 5,425.63
  4. Step 4: Simplify right side
    9,902.00x = 74,138,824.95
  5. Step 5: Solve for x
    x = 74,138,824.95/9,902.00
  6. Step 6: Final answer
    x = 7,487.26

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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.