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Finding the Fourth Proportional to 12,291.69, 16,963.99 and 6,987.30

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Solution

The fourth proportional to 12,291.69, 16,963.99 and 6,987.30 is: 9,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.69 : 16,963.99 = 6,987.30 : x
  2. Step 2: Convert to fraction form
    12,291.69/16,963.99 = 6,987.30/x
  3. Step 3: Cross multiply
    12,291.69x = 16,963.99 × 6,987.30
  4. Step 4: Simplify right side
    12,291.69x = 118,532,494.80
  5. Step 5: Solve for x
    x = 118,532,494.80/12,291.69
  6. Step 6: Final answer
    x = 9,643.31

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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.