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Finding the Fourth Proportional to 9,098.83, 13,656.79 and 4,659.79

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Solution

The fourth proportional to 9,098.83, 13,656.79 and 4,659.79 is: 6,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.83 : 13,656.79 = 4,659.79 : x
  2. Step 2: Convert to fraction form
    9,098.83/13,656.79 = 4,659.79/x
  3. Step 3: Cross multiply
    9,098.83x = 13,656.79 × 4,659.79
  4. Step 4: Simplify right side
    9,098.83x = 63,637,783.42
  5. Step 5: Solve for x
    x = 63,637,783.42/9,098.83
  6. Step 6: Final answer
    x = 6,994.06

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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.