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Finding the Fourth Proportional to 16,858.16, 25,267.13 and 7,840.10

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Solution

The fourth proportional to 16,858.16, 25,267.13 and 7,840.10 is: 11,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.16 : 25,267.13 = 7,840.10 : x
  2. Step 2: Convert to fraction form
    16,858.16/25,267.13 = 7,840.10/x
  3. Step 3: Cross multiply
    16,858.16x = 25,267.13 × 7,840.10
  4. Step 4: Simplify right side
    16,858.16x = 198,096,825.91
  5. Step 5: Solve for x
    x = 198,096,825.91/16,858.16
  6. Step 6: Final answer
    x = 11,750.80

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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.