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Finding the Fourth Proportional to 13,697.04, 18,902 and 7,728.96

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Solution

The fourth proportional to 13,697.04, 18,902 and 7,728.96 is: 10,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.04 : 18,902 = 7,728.96 : x
  2. Step 2: Convert to fraction form
    13,697.04/18,902 = 7,728.96/x
  3. Step 3: Cross multiply
    13,697.04x = 18,902 × 7,728.96
  4. Step 4: Simplify right side
    13,697.04x = 146,092,801.92
  5. Step 5: Solve for x
    x = 146,092,801.92/13,697.04
  6. Step 6: Final answer
    x = 10,666.01

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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.