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Finding the Fourth Proportional to 12,295.13, 16,967.29 and 6,989.97

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Solution

The fourth proportional to 12,295.13, 16,967.29 and 6,989.97 is: 9,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.13 : 16,967.29 = 6,989.97 : x
  2. Step 2: Convert to fraction form
    12,295.13/16,967.29 = 6,989.97/x
  3. Step 3: Cross multiply
    12,295.13x = 16,967.29 × 6,989.97
  4. Step 4: Simplify right side
    12,295.13x = 118,600,848.08
  5. Step 5: Solve for x
    x = 118,600,848.08/12,295.13
  6. Step 6: Final answer
    x = 9,646.16

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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.