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Finding the Fourth Proportional to 6,196, 9,294.56 and 1,579

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Solution

The fourth proportional to 6,196, 9,294.56 and 1,579 is: 2,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196 : 9,294.56 = 1,579 : x
  2. Step 2: Convert to fraction form
    6,196/9,294.56 = 1,579/x
  3. Step 3: Cross multiply
    6,196x = 9,294.56 × 1,579
  4. Step 4: Simplify right side
    6,196x = 14,676,110.24
  5. Step 5: Solve for x
    x = 14,676,110.24/6,196
  6. Step 6: Final answer
    x = 2,368.64

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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.