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Finding the Fourth Proportional to 9,646.75, 14,470.09 and 3,073.47

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Solution

The fourth proportional to 9,646.75, 14,470.09 and 3,073.47 is: 4,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.75 : 14,470.09 = 3,073.47 : x
  2. Step 2: Convert to fraction form
    9,646.75/14,470.09 = 3,073.47/x
  3. Step 3: Cross multiply
    9,646.75x = 14,470.09 × 3,073.47
  4. Step 4: Simplify right side
    9,646.75x = 44,473,387.51
  5. Step 5: Solve for x
    x = 44,473,387.51/9,646.75
  6. Step 6: Final answer
    x = 4,610.19

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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.