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Finding the Fourth Proportional to 9,646.03, 14,470.78 and 3,409.68

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Solution

The fourth proportional to 9,646.03, 14,470.78 and 3,409.68 is: 5,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.03 : 14,470.78 = 3,409.68 : x
  2. Step 2: Convert to fraction form
    9,646.03/14,470.78 = 3,409.68/x
  3. Step 3: Cross multiply
    9,646.03x = 14,470.78 × 3,409.68
  4. Step 4: Simplify right side
    9,646.03x = 49,340,729.15
  5. Step 5: Solve for x
    x = 49,340,729.15/9,646.03
  6. Step 6: Final answer
    x = 5,115.13

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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.