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Finding the Fourth Proportional to 12,429, 17,152.02 and 6,840.36

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Solution

The fourth proportional to 12,429, 17,152.02 and 6,840.36 is: 9,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429 : 17,152.02 = 6,840.36 : x
  2. Step 2: Convert to fraction form
    12,429/17,152.02 = 6,840.36/x
  3. Step 3: Cross multiply
    12,429x = 17,152.02 × 6,840.36
  4. Step 4: Simplify right side
    12,429x = 117,325,991.53
  5. Step 5: Solve for x
    x = 117,325,991.53/12,429
  6. Step 6: Final answer
    x = 9,439.70

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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.