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Finding the Fourth Proportional to 16,886.70, 25,333.02 and 6,497.64

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Solution

The fourth proportional to 16,886.70, 25,333.02 and 6,497.64 is: 9,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,886.70 : 25,333.02 = 6,497.64 : x
  2. Step 2: Convert to fraction form
    16,886.70/25,333.02 = 6,497.64/x
  3. Step 3: Cross multiply
    16,886.70x = 25,333.02 × 6,497.64
  4. Step 4: Simplify right side
    16,886.70x = 164,604,844.07
  5. Step 5: Solve for x
    x = 164,604,844.07/16,886.70
  6. Step 6: Final answer
    x = 9,747.60

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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.