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Finding the Fourth Proportional to 6,909.96, 10,368.65 and 3,014.13

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Solution

The fourth proportional to 6,909.96, 10,368.65 and 3,014.13 is: 4,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.96 : 10,368.65 = 3,014.13 : x
  2. Step 2: Convert to fraction form
    6,909.96/10,368.65 = 3,014.13/x
  3. Step 3: Cross multiply
    6,909.96x = 10,368.65 × 3,014.13
  4. Step 4: Simplify right side
    6,909.96x = 31,252,466.56
  5. Step 5: Solve for x
    x = 31,252,466.56/6,909.96
  6. Step 6: Final answer
    x = 4,522.81

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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.