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Finding the Fourth Proportional to 10,409.40, 15,594.66 and 6,949.08

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Solution

The fourth proportional to 10,409.40, 15,594.66 and 6,949.08 is: 10,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.40 : 15,594.66 = 6,949.08 : x
  2. Step 2: Convert to fraction form
    10,409.40/15,594.66 = 6,949.08/x
  3. Step 3: Cross multiply
    10,409.40x = 15,594.66 × 6,949.08
  4. Step 4: Simplify right side
    10,409.40x = 108,368,539.91
  5. Step 5: Solve for x
    x = 108,368,539.91/10,409.40
  6. Step 6: Final answer
    x = 10,410.64

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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.