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Finding the Fourth Proportional to 6,594.64, 9,869.04 and 4,094.80

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Solution

The fourth proportional to 6,594.64, 9,869.04 and 4,094.80 is: 6,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.64 : 9,869.04 = 4,094.80 : x
  2. Step 2: Convert to fraction form
    6,594.64/9,869.04 = 4,094.80/x
  3. Step 3: Cross multiply
    6,594.64x = 9,869.04 × 4,094.80
  4. Step 4: Simplify right side
    6,594.64x = 40,411,744.99
  5. Step 5: Solve for x
    x = 40,411,744.99/6,594.64
  6. Step 6: Final answer
    x = 6,127.97

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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.