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Finding the Fourth Proportional to 6,246.79, 9,369.93 and 1,566.44

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Solution

The fourth proportional to 6,246.79, 9,369.93 and 1,566.44 is: 2,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.79 : 9,369.93 = 1,566.44 : x
  2. Step 2: Convert to fraction form
    6,246.79/9,369.93 = 1,566.44/x
  3. Step 3: Cross multiply
    6,246.79x = 9,369.93 × 1,566.44
  4. Step 4: Simplify right side
    6,246.79x = 14,677,418.50
  5. Step 5: Solve for x
    x = 14,677,418.50/6,246.79
  6. Step 6: Final answer
    x = 2,349.59

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1.5x scale

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.