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Finding the Fourth Proportional to 6,894.40, 9,513.84 and 4,099.36

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Solution

The fourth proportional to 6,894.40, 9,513.84 and 4,099.36 is: 5,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.40 : 9,513.84 = 4,099.36 : x
  2. Step 2: Convert to fraction form
    6,894.40/9,513.84 = 4,099.36/x
  3. Step 3: Cross multiply
    6,894.40x = 9,513.84 × 4,099.36
  4. Step 4: Simplify right side
    6,894.40x = 39,000,655.14
  5. Step 5: Solve for x
    x = 39,000,655.14/6,894.40
  6. Step 6: Final answer
    x = 5,656.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.