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Finding the Fourth Proportional to 9,645.71, 14,473.06 and 3,410.44

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Solution

The fourth proportional to 9,645.71, 14,473.06 and 3,410.44 is: 5,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.71 : 14,473.06 = 3,410.44 : x
  2. Step 2: Convert to fraction form
    9,645.71/14,473.06 = 3,410.44/x
  3. Step 3: Cross multiply
    9,645.71x = 14,473.06 × 3,410.44
  4. Step 4: Simplify right side
    9,645.71x = 49,359,458.04
  5. Step 5: Solve for x
    x = 49,359,458.04/9,645.71
  6. Step 6: Final answer
    x = 5,117.25

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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.