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Finding the Fourth Proportional to 16,260, 22,442.42 and 9,885.24

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Solution

The fourth proportional to 16,260, 22,442.42 and 9,885.24 is: 13,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,260 : 22,442.42 = 9,885.24 : x
  2. Step 2: Convert to fraction form
    16,260/22,442.42 = 9,885.24/x
  3. Step 3: Cross multiply
    16,260x = 22,442.42 × 9,885.24
  4. Step 4: Simplify right side
    16,260x = 221,848,658.45
  5. Step 5: Solve for x
    x = 221,848,658.45/16,260
  6. Step 6: Final answer
    x = 13,643.83

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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.